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SIAM Journal on Applied Dynamical Systems

Short Title: SIAM J. Appl. Dyn. Syst.
Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
ISSN: 1536-0040/e
Online: http://epubs.siam.org/loi/sjaday
Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2002).
Documents Indexed: 1,384 Publications (since 2002)
References Indexed: 833 Publications with 35,946 References.
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Latest Issues

23, No. 3 (2024)
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1, No. 1 (2002)
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Authors

24 Krauskopf, Bernd
18 Kutz, J. Nathan
18 Osinga, Hinke Maria
17 Champneys, Alan R.
17 Uldall Kristiansen, K.
15 Rubin, Jonathan E.
15 Ward, Michael J.
14 Golubitsky, Martin A.
13 Bressloff, Paul C.
13 Guckenheimer, John M.
13 Ha, Seung-Yeal
13 Meiss, James D.
13 Sandstede, Björn
12 Mireles-James, Jason D.
12 Mischaikow, Konstantin
12 Wechselberger, Martin
11 Lessard, Jean-Philippe
11 Rademacher, Jens Diederich Michael
10 de la Llave, Rafael
10 Hogan, S. John
10 Mezić, Igor
10 Porter, Mason Alexander
10 Wilson, Dan D.
9 Bollt, Erik M.
9 Doelman, Arjen
9 Kühn, Christian
9 Scheel, Arnd
8 Brunton, Steven L.
8 Ermentrout, Bard G.
8 Ermentrout, George Bard
8 Kilpatrick, Zachary P.
8 Kirk, Vivien
8 Knobloch, Edgar
8 Kolokolnikov, Theodore
8 Kuznetsov, Yuriĭ Aleksandrovich
8 Moehlis, Jeff
8 Pelinovsky, Dmitry Efimovich
8 Stewart, Ian Nicholas
8 Yorke, James Alan
7 Clément, Frédérique
7 Desroches, Mathieu
7 Gedeon, Tomáš
7 Holmes, Philip J.
7 Kevrekidis, Ioannis George
7 Kevrekidis, Panayotis G.
7 Postlethwaite, Claire M.
7 Rucklidge, Alastair M.
7 Sieber, Jan
7 Yanchuk, Sergiĭ Volodymyrovych
7 Zgliczyński, Piotr
6 Ashwin, Peter
6 Coombes, Stephen
6 Dullin, Holger R.
6 Jeffrey, Mike R.
6 Kopell, Nancy J.
6 Krupa, Martin
6 Lloyd, David J. B.
6 Mrozek, Marian
6 Palacián, Jesús F.
6 Rowley, Clarence Worth
6 Starke, Jens
6 Terman, David Hillel
6 van den Berg, Jan Bouwe
6 Vidal, Claudio
6 Wilczak, Daniel
6 Yanguas, Patricia
5 Avitabile, Daniele
5 Balasuriya, Sanjeeva
5 Cors, Josep Maria
5 Cummins, Bree
5 Fetecau, Razvan C.
5 Folias, Stefanos E.
5 Froyland, Gary
5 Giesl, Peter
5 Gottwald, Georg A.
5 Hüls, Thorsten
5 Hupkes, Hermen Jan
5 Lee, Euiwoo
5 Lewis, Mark Alun
5 Lewis, Timothy J.
5 Neuberger, John M.
5 Pavliotis, Grigorios A.
5 Rom-Kedar, Vered
5 Rotstein, Horacio G.
5 M-Seara, Tere
5 Sieben, Nándor
5 Swift, James W.
5 Teixeira, Marco Antonio
5 Wanner, Thomas
5 Wayne, Clarence Eugene
5 Wulff, Claudia
4 Aguirre, Pablo
4 Atay, Fatihcan M.
4 Batko, Bogdan
4 Beck, Margaret
4 Belykh, Igor V.
4 Bertram, Richard
4 Beyn, Wolf-Jürgen
4 Blömker, Dirk
4 Booth, Victoria
...and 2,131 more Authors
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Fields

783 Dynamical systems and ergodic theory (37-XX)
572 Ordinary differential equations (34-XX)
417 Biology and other natural sciences (92-XX)
319 Partial differential equations (35-XX)
191 Numerical analysis (65-XX)
178 Mechanics of particles and systems (70-XX)
95 Systems theory; control (93-XX)
83 Probability theory and stochastic processes (60-XX)
78 Fluid mechanics (76-XX)
46 Statistical mechanics, structure of matter (82-XX)
42 Combinatorics (05-XX)
42 Computer science (68-XX)
35 Operations research, mathematical programming (90-XX)
35 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
33 Optics, electromagnetic theory (78-XX)
32 Mechanics of deformable solids (74-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
29 Statistics (62-XX)
27 Difference and functional equations (39-XX)
25 Integral equations (45-XX)
22 Operator theory (47-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Classical thermodynamics, heat transfer (80-XX)
17 Information and communication theory, circuits (94-XX)
15 Geophysics (86-XX)
10 Approximations and expansions (41-XX)
9 Algebraic topology (55-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Quantum theory (81-XX)
8 Differential geometry (53-XX)
8 General topology (54-XX)
7 Convex and discrete geometry (52-XX)
7 Manifolds and cell complexes (57-XX)
6 Group theory and generalizations (20-XX)
5 Functional analysis (46-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Algebraic geometry (14-XX)
4 Measure and integration (28-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Commutative algebra (13-XX)
2 Field theory and polynomials (12-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

1,161 Publications have been cited 14,655 times in 9,271 Documents Cited by ▼ Year ▼
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
346
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
162
2003
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
151
2012
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
143
2011
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
143
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
135
2005
Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
120
2005
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
118
2008
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
115
2016
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
108
2017
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
104
2006
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
83
2017
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
83
2009
A vaccination model for transmission dynamics of influenza. Zbl 1067.92051
Alexander, M. E.; Bowman, C.; Moghadas, S. M.; Summers, R.; Gumel, A. B.; Sahai, B. M.
76
2004
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
73
2008
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
71
2010
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
71
2008
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
69
2015
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
69
2016
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
68
2003
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
65
2011
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
65
2020
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
63
2008
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
62
2019
A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208
Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
60
2016
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
60
2008
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
58
2008
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
58
2004
A database schema for the analysis of global dynamics of multiparameter systems. Zbl 1186.37021
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł
56
2009
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
56
2004
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
55
2014
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
55
2011
\(R_0\) analysis of a spatiotemporal model for a stream population. Zbl 1252.35068
Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A.
55
2012
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
55
2005
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
55
2016
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
54
2009
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity. Zbl 1210.37062
Haro, A.; de la Llave, R.
54
2007
Linearly recurrent autoencoder networks for learning dynamics. Zbl 1489.65164
Otto, Samuel E.; Rowley, Clarence W.
53
2019
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
53
2004
Projecting to a slow manifold: singularly perturbed systems and legacy codes. Zbl 1170.34343
Gear, C. W.; Kaper, T. J.; Kevrekidis, I. G.; Zagaris, A.
53
2005
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
52
2004
Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370
Goodman, Roy H.; Haberman, Richard
51
2005
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
51
2003
Higher order dynamic mode decomposition. Zbl 1373.37169
Le Clainche, Soledad; Vega, José M.
51
2017
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
51
2014
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
50
2013
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
50
2003
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters \(H\in(1/3,1/2]\). Zbl 1336.60103
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
49
2016
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
48
2011
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
47
2007
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
47
2004
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
45
2002
A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063
Choi, Young-Pil; Kalise, Dante; Peszek, Jan; Peters, Andrés A.
43
2019
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
42
2013
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
42
2009
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
42
2009
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
42
2014
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
41
2013
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
41
2008
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
41
2009
Parameterization of invariant manifolds for periodic orbits. I: Efficient numerics via the Floquet normal form. Zbl 1376.37057
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, J. D.
41
2015
To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014
Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn
40
2010
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
39
2009
On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. Zbl 1267.35027
Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos
39
2010
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
38
2014
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
38
2012
Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036
van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D.
38
2015
The Melnikov method and subharmonic orbits in a piecewise-smooth system. Zbl 1262.37028
Granados, A.; Hogan, S. J.; Seara, T. M.
37
2012
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
37
2005
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
37
2005
Poisson-Nernst-Planck systems for ion flow with a local hard-sphere potential for ion size effects. Zbl 1284.34078
Lin, Guojian; Liu, Weishi; Yi, Yingfei; Zhang, Mingji
36
2013
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
36
2010
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
36
2009
Variable projection methods for an optimized dynamic mode decomposition. Zbl 1384.37122
Askham, Travis; Kutz, J. Nathan
36
2018
Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse. Zbl 1059.37067
England, J. P.; Krauskopf, B.; Osinga, H. M.
36
2004
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
36
2010
\(R_0\) analysis of a benthic-drift model for a stream population. Zbl 1364.92059
Huang, Qihua; Jin, Yu; Lewis, Mark A.
36
2016
Computation of mixed type functional differential boundary value problems. Zbl 1090.65093
Abell, Kate A.; Elmer, Christopher E.; Humphries, A. R.; Van Vleck, Erik S.
36
2005
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
35
2013
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
35
2009
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
35
2012
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
35
2010
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
35
2006
Neimark-Sacker bifurcations in planar, piecewise-smooth, continuous maps. Zbl 1159.37419
Simpson, D. J. W.; Meiss, J. D.
34
2008
TC-HAT (\(\widehat{TC}\)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004
Thota, Phanikrishna; Dankowicz, Harry
34
2008
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
34
2010
An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. Zbl 1210.34086
Xu, Jian; Chung, Kwok-Wai; Chan, Chuen-Lit
34
2007
The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation. Zbl 1210.35016
Kolokolnikov, Theodore; Sun, Wentao; Ward, Michael; Wei, Juncheng
34
2006
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
34
2003
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
34
2005
Prey switching with a linear preference trade-off. Zbl 1348.37125
Piltz, Sofia H.; Porter, Mason A.; Maini, Philip K.
33
2014
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
33
2013
Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353
Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy
33
2008
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
33
2005
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
33
2007
A computational method to extract macroscopic variables and their dynamics in multiscale systems. Zbl 1320.37012
Froyland, Gary; Gottwald, Georg A.; Hammerlindl, Andy
33
2014
Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101
Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.
33
2016
Dynamics of a time-delayed Lyme disease model with seasonality. Zbl 1365.35075
Wang, Xiunan; Zhao, Xiao-Qiang
33
2017
Bounds for deterministic and stochastic dynamical systems using sum-of-squares optimization. Zbl 1356.34058
Fantuzzi, G.; Goluskin, D.; Huang, D.; Chernyshenko, S. I.
32
2016
Adaptive and sequential gridding procedures for the abstraction and verification of stochastic processes. Zbl 1278.93243
Zadeh Soudjani, Sadegh Esmaeil; Abate, Alessandro
32
2013
Spatio-temporal dynamics in a reaction-diffusion equation with nonlocal spatial memory. Zbl 1537.35043
Xue, Shuyang; Song, Yongli; Wang, Hao
2
2024
Dynamics of controllable matter-wave solitons and soliton molecules for a Rabi-coupled Gross-Pitaevskii equation with temporally and spatially modulated coefficients. Zbl 1534.35351
Wang, Haotian; Yang, Hujiang; Meng, Xiankui; Tian, Ye; Liu, Wenjun
2
2024
Diversity of emergent dynamics in competitive threshold-linear networks. Zbl 1541.37094
Morrison, Katherine; Degeratu, Anda; Itskov, Vladimir; Curto, Carina
1
2024
Exact and optimal quadratization of nonlinear finite-dimensional nonautonomous dynamical systems. Zbl 1541.34059
Bychkov, Andrey; Issan, Opal; Pogudin, Gleb; Kramer, Boris
1
2024
Convergence of weak-SINDy surrogate models. Zbl 1541.37096
Russo, Benjamin P.; Laiu, M. Paul
1
2024
Discrepancy modeling framework: learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effects. Zbl 1532.68095
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1
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1
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Stable synchronous propagation of signals by feedforward networks. Zbl 1531.94013
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1
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1
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Reduction of chemical reaction networks with approximate conservation laws. Zbl 1533.34039
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1
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Bistability of an HIV model with immune impairment. Zbl 07873801
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1
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Less interaction with forward models in Langevin dynamics: enrichment and homotopy. Zbl 07906726
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1
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An organizing center of codimension four in a predator-prey model with generalist predator: from tristability and quadristability to transients in a nonlinear environmental change. Zbl 1520.34046
Lu, Min; Huang, Jicai; Wang, Hao
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Geometric singular perturbation analysis of the multiple-timescale Hodgkin-Huxley equations. Zbl 1522.34074
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Optimal phase-selective entrainment of heterogeneous oscillator ensembles. Zbl 1526.37091
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4
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Optimal transport for parameter identification of chaotic dynamics via invariant measures. Zbl 1515.37100
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3
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3
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2
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2
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2
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2
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Synchronization in temporal simplicial complexes. Zbl 1540.34099
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2
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Enlarged numerical attractors for lattice systems with porous media degeneracies. Zbl 1526.37085
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2
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2
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2
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Fast adjoint algorithm for linear responses of hyperbolic chaos. Zbl 1532.37071
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1
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Angular values of nonautonomous linear dynamical systems. II: Reduction theory and algorithm. Zbl 1515.37102
Beyn, Wolf-Jürgen; Hüls, Thorsten
1
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Hyperdissipative Navier-Stokes equations driven by time-dependent forces: invariant manifolds. Zbl 1538.37039
Wang, Rong-Nian; Zhao, Jia-Cheng; Miranville, Alain
1
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An optimized dynamic mode decomposition model robust to multiplicative noise. Zbl 1515.37093
Lee, Minwoo; Park, Jongho
1
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The asymptotic frequency of stochastic oscillators. Zbl 1511.60114
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1
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Path-based divergence rates and Lagrangian uncertainty in stochastic flows. Zbl 1515.37008
Branicki, Michał; Uda, Kenneth
1
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The adaptive spectral Koopman method for dynamical systems. Zbl 1522.65116
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1
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Toward convectons in the supercritical regime: homoclinic snaking in natural doubly diffusive convection. Zbl 07723357
Tumelty, J.; Beaume, Cedric; Rucklidge, Alastair M.
1
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Long-term behaviour of asymptotically autonomous Hamiltonian systems with multiplicative noise. Zbl 1522.34082
Sultanov, Oskar A.
1
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Sustainability or societal collapse: dynamics and bifurcations of the HANDY model. Zbl 1525.37093
Tonnelier, Arnaud
1
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Learning to forecast dynamical systems from streaming data. Zbl 1522.37089
Giannakis, Dimitrios; Henriksen, Amelia; Tropp, Joel A.; Ward, Rachel
1
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A pulsed-precipitation model of dryland vegetation pattern formation. Zbl 1518.35071
Gandhi, Punit; Liu, Lily; Silber, Mary
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Individual molecules dynamics in reaction network models. Zbl 1519.92072
Cappelletti, Daniele; Rempala, Grzegorz A.
1
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Koopman operator inspired nonlinear system identification. Zbl 1523.37088
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Hopf bifurcations of reaction networks with zero-one stoichiometric coefficients. Zbl 1522.92027
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Propagation reversal for bistable differential equations on trees. Zbl 1523.34015
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Arnold diffusion in a model of dissipative system. Zbl 1526.37077
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Parameter region for multistationarity in \(n\) site phosphorylation networks. Zbl 1520.92032
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The dynamics of interacting multi-pulses in the one-dimensional quintic complex Ginzburg-Landau equation. Zbl 1522.35484
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Breden, Maxime
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1
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On a finite-size neuronal population equation. Zbl 1515.60146
Schmutz, Valentin; Löcherbach, Eva; Schwalger, Tilo
1
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Decomposition of admissible functions in weighted coupled cell networks. Zbl 1535.90034
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1
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Rate-induced tipping in heterogeneous reaction-diffusion systems: an invariant manifold framework and geographically shifting ecosystems. Zbl 1532.37077
Hasan, Cris R.; Cárthaigh, Ruaidhrí Mac; Wieczorek, Sebastian
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Deep linear networks for matrix completion – an infinite depth limit. Zbl 1524.68313
Cohen, Nadav; Menon, Govind; Veraszto, Zsolt
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Organization of spatially localized structures near a codimension-three cusp-Turing bifurcation. Zbl 1527.35052
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Stability of equilibrium points in the spatially restricted \(N+1\)-body problem with Manev potential. Zbl 1530.70012
Ascencio, Mauricio; Barrabés, Esther; Cors, Josep M.; Vidal, Claudio
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Optimal control of the controlled Lotka-Volterra equations with applications. The permanent case. Zbl 1528.49015
Bonnard, Bernard; Rouot, Jérémy
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Equilibria analysis of a networked bivirus epidemic model using Poincaré-Hopf and manifold theory. Zbl 1528.34042
Anderson, Brian D. O.; Ye, Mengbin
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Regression-based projection for learning Mori-Zwanzig operators. Zbl 1532.37073
Lin, Yen Ting; Tian, Yifeng; Perez, Danny; Livescu, Daniel
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Low-order parametric state-space modeling of MIMO systems in the Loewner framework. Zbl 1530.93076
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On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study. Zbl 1484.35034
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Local and global existence for nonlocal multispecies advection-diffusion models. Zbl 1494.35002
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Modeling multilane traffic with moving obstacles by nonlocal balance laws. Zbl 1497.35315
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An adaptive phase-amplitude reduction framework without \(\mathcal{O}(\epsilon)\) constraints on inputs. Zbl 1490.34045
Wilson, Dan
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A dynamical theory for singular stochastic delay differential equations. I: Linear equations and a multiplicative ergodic theorem on fields of Banach spaces. Zbl 1490.34103
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Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270
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Derivative-free Bayesian inversion using multiscale dynamics. Zbl 1493.62132
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Dynamics of small particle inertial migration in curved square ducts. Zbl 1486.76098
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A bounded-confidence model of opinion dynamics on hypergraphs. Zbl 1482.91163
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Emergent behaviors of rotation matrix flocks. Zbl 1513.70057
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Limitations and improvements of the intelligent driver model (IDM). Zbl 1512.90062
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Stability of cycles in a game of Rock-Scissors-Paper-Lizard-Spock. Zbl 1509.34045
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Efficient computation of linear response of chaotic attractors with one-dimensional unstable manifolds. Zbl 1497.37103
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Stochastically adaptive control and synchronization: from globally one-sided Lipschitzian to only locally Lipschitzian systems. Zbl 1492.60182
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Canards underlie both electrical and \(\mathrm{Ca}^{2+}\)-induced early afterdepolarizations in a model for cardiac myocytes. Zbl 1498.37129
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Modulation and amplitude equations on bounded domains for nonlinear SPDEs driven by cylindrical \(\alpha\)-stable Lévy processes. Zbl 1492.60197
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Eigenfunction martingale estimators for interacting particle systems and their mean field limit. Zbl 1505.35334
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Bifurcations and dynamics in inertial focusing of particles in curved rectangular ducts. Zbl 1503.76041
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Bifurcation sequences in a discontinuous piecewise-smooth map combining constant-catch and threshold-based harvesting strategies. Zbl 1484.92077
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Anti-integrability for three-dimensional quadratic maps. Zbl 1528.37056
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Persistence of Conley-Morse graphs in combinatorial dynamical systems. Zbl 1498.37069
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Dynamical analysis and optimization of a generalized resource allocation model of microbial growth. Zbl 1490.37114
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Bulk topological states in a new collective dynamics model. Zbl 1515.70009
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Sequential attractors in combinatorial threshold-linear networks. Zbl 1491.92037
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Neuron scale modeling of Prion production with the unfolded protein response. Zbl 1509.34086
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Validated spectral stability via conjugate points. Zbl 1494.37046
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Angular values of nonautonomous and random linear dynamical systems. I: Fundamentals. Zbl 1498.37040
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Ensemble inference methods for models with noisy and expensive likelihoods. Zbl 1493.62124
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Poisson structure and reduction by stages of the full gravitational \(N\)-body problem. Zbl 1505.70033
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44 Mireles-James, Jason D.
43 Kevrekidis, Ioannis George
42 Osinga, Hinke Maria
39 Kutz, J. Nathan
38 Scheel, Arnd
37 Bressloff, Paul C.
36 Sandstede, Björn
35 Brunton, Steven L.
34 Carrillo de la Plata, José Antonio
34 Rubin, Jonathan E.
33 Kevrekidis, Panayotis G.
33 Stewart, Ian Nicholas
33 Wechselberger, Martin
31 Uldall Kristiansen, K.
30 Wang, Hao
29 Craciun, Gheorghe
29 Mezić, Igor
29 Pelinovsky, Dmitry Efimovich
29 Wei, Juncheng
28 de la Llave, Rafael
28 Hupkes, Hermen Jan
28 Novaes, Douglas Duarte
28 Park, Hansol
28 Teixeira, Marco Antonio
28 Zhao, Xiao-Qiang
27 Wang, Jinliang
26 Desroches, Mathieu
26 Kim, Dohyun
26 Krupa, Martin
26 Laing, Carlo R.
26 Simpson, David John Warwick
25 Coombes, Stephen
25 Mischaikow, Konstantin
25 Shen, Wenxian
24 Jeffrey, Mike R.
24 Knobloch, Edgar
24 van den Berg, Jan Bouwe
23 Cao, Jinde
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23 Doelman, Arjen
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23 Kolokolnikov, Theodore
23 Ponce, Enrique
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22 Chen, Guanrong
22 Duan, Jinqiao
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20 Zgliczyński, Piotr
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19 Aguiar, Manuela A. D.
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233 Discrete and Continuous Dynamical Systems. Series B
220 Journal of Nonlinear Science
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153 Journal of Mathematical Biology
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126 Bulletin of Mathematical Biology
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118 SIAM Journal on Applied Mathematics
116 Nonlinear Analysis. Real World Applications
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95 Automatica
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55 Computer Methods in Applied Mechanics and Engineering
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51 ZAMP. Zeitschrift für angewandte Mathematik und Physik
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
50 SIAM Journal on Scientific Computing
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50 Discrete and Continuous Dynamical Systems. Series S
48 Biological Cybernetics
48 Celestial Mechanics and Dynamical Astronomy
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43 Studies in Applied Mathematics
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42 Computers & Mathematics with Applications
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40 European Journal of Applied Mathematics
39 Mathematics and Computers in Simulation
38 Dynamical Systems
36 Applicable Analysis
34 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
33 Archive for Rational Mechanics and Analysis
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32 SIAM Journal on Control and Optimization
32 Mathematical Modelling of Natural Phenomena
32 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
30 Acta Applicandae Mathematicae
30 Neural Computation
29 Systems & Control Letters
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