Symmetric Liapunov center theorem. (English) Zbl 1378.37095
Reviewer: Iliya Iliev (Sofia)
Found 310 Documents (Results 101–200)
The existence of multiple equilibrium points in global attractors for some symmetric dynamical systems. II. (English) Zbl 1364.35048
The \(C^1\) density of nonuniform hyperbolicity in \(C^{r}\) conservative diffeomorphisms. (English) Zbl 1369.37040
A gallery of chaotic systems with an infinite number of equilibrium points. (English) Zbl 1372.37071
Prediction of the geomagnetic Kp index by a discrete bilinear model. (Ukrainian. English summary) Zbl 1374.86051
Sinks with relatively large immediate basins and a refinement of Mañé’s \(C^1\) generic dichotomy. (English) Zbl 1369.37038
The stability of fixed points of discrete dynamical systems in the space conv \(\mathbb{R}^n\). (English. Russian original) Zbl 1376.37056
Funct. Anal. Appl. 50, No. 2, 163-165 (2016); translation from Funkts. Anal. Prilozh. 50, No. 2, 94-96 (2016).
Exponential rate of periodic points and metric entropy in nonuniformly hyperbolic systems. (English) Zbl 1377.37052
Reviewer: Kwok-wai Chung (Hong Kong)
A dynamical system for a nonlocal parabolic equation with exponential nonlinearity. (English) Zbl 1338.35234
Reviewer: Zdzisław Dzedzej (Gdansk)
Boundary-value problems for differential-algebraic equations: A survey. (English) Zbl 1343.65102
Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations III. Cham: Springer (ISBN 978-3-319-22427-5/pbk; 978-3-319-22428-2/ebook). Differential-Algebraic Equations Forum, 177-309 (2015).
Reviewer: Boris V. Loginov (Ul’yanovsk)
On reducibility of the weighted composition operators. (Russian. English summary) Zbl 1345.47009
Reviewer: Evgueni Doubtsov (St. Petersburg)
Spectral comparison and gradient-like property in the FitzHugh-Nagumo type equations. (English) Zbl 1342.35139
Reviewer: Georg Hetzer (Auburn)
Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland. (English) Zbl 1348.37069
Solutions with multiple catenoidal ends to the Allen-Cahn equation in \(\mathbb{R}^3\). (English. French summary) Zbl 1305.35079
Reviewer: Florin Catrina (New York)
On numerical studies of the dynamics of a beam in electrophysical installations. (English) Zbl 1324.74021
The existence of multiple equilibrium points in a global attractor for some \(p\)-Laplacian equation. (English) Zbl 1310.35205
On the problem concerning the points of semicontinuity of the stabilization index. (English. Russian original) Zbl 1310.34073
Differ. Equ. 50, No. 10, 1424-1428 (2014); translation from Differ. Uravn. 50, No. 10, 1428-1432 (2014).
Morse-Conley-Floer homology. (English) Zbl 1350.37018
The existence of multiple equilibrium points in a global attractor for some symmetric dynamical systems. (English) Zbl 1297.35049
A backward \(\lambda\)-lemma for the forward heat flow. (English) Zbl 1306.37090
Reviewer: Weiping Li (Stillwater)
Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent. (English) Zbl 1288.35101
Reviewer: Svetlin Georgiev (Rousse)
Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. (English) Zbl 1335.47040
Reviewer: Dorota Gabor (Toruń)
Conditional stability of solitary wave solutions for a generalized nonlinear dissipative hyperelastic-rod wave equation. (Chinese. English summary) Zbl 1299.35185
Rigorous computation of the global dynamics of integrodifference equations with smooth nonlinearities. (English) Zbl 1288.37030
Reviewer: Fengqin Zhang (Yuncheng)
Linear and nonlinear arabesques: a study of closed chains of negative 2-element circuits. (English) Zbl 1277.34058
Ordinary differential equations with applications. 2nd ed. (English) Zbl 1285.34001
Series on Applied Mathematics (Singapore) 21. Hackensack, NJ: World Scientific (ISBN 978-981-4452-90-8/hbk). xiii, 297 p. (2013).
Reviewer: Antonio Cañada Villar (Granada)
Bounds on the Ogasa number for ordered continuations of Lyapunov graphs. (English) Zbl 1283.37029
Reviewer: Thomas J. Bartsch (Gießen)
Lyapunov graphs of nonsingular Smale flows on \(S^1\times S^2\). (English) Zbl 1273.37013
Reviewer: Dorin Andrica (Riyadh)
Analysis on the \(p\)-th type global exponential stability of BAM neural networks with delays. (Chinese. English summary) Zbl 1287.93061
MSC:
93D05
Moment Lyapunov exponent of three-dimensional system under bounded noise excitation. (English) Zbl 1266.74024
MSC:
74H50
A new method for projective synchronization of different fractional order chaotic systems. (Chinese. English summary) Zbl 1274.93120
Lyapunov spectrum of nonautonomous linear stochastic differential algebraic equations of index-1. (English) Zbl 1255.60099
Morse equation of attractors for nonsmooth dynamical systems. (English) Zbl 1263.34079
Reviewer: Valerii V. Obukhovskij (Voronezh)
Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson. 2nd completely revised and enlarged ed. (English) Zbl 1241.60002
Stochastic Modelling and Applied Probability 66. Berlin: Springer (ISBN 978-3-642-23279-4/hbk; 978-3-642-23280-0/ebook). xvii, 339 p. (2012).
Reviewer: Nicolas Perkowski (Berlin)
Parametric optimization of neutral linear system with two delays with P-controller. (English) Zbl 1271.93080
Smooth structure on the moduli space of instantons of a generic vector field. (English) Zbl 1249.57008
Andrica, Dorin (ed.) et al., Geometry. Exploratory workshop on differential geometry and its applications, Iaşi, Romania, September 2–4, 2009. Cluj-Napoca: Cluj University Press (ISBN 978-973-595-235-8). 37-59 (2011).
Approximation of spectral intervals and leading directions for differential-algebraic equation via smooth singular value decompositions. (English) Zbl 1235.65087
Reviewer: Pavol Chocholatý (Bratislava)
\(QR\) methods and error analysis for computing Lyapunov and Sacker–Sell spectral intervals for linear differential-algebraic equations. (English) Zbl 1242.65150
Reviewer: Raffaella Pavani (Milano)
On computing the instability index of a non-self-adjoint differential operator associated with coating and rimming flows. (English) Zbl 1234.35154
On index-2 linear implicit difference equations. (English) Zbl 1206.39004
Reviewer: Ioannis P. Stavroulakis (Ioannina)
MSC:
39A10
On the \(Z_2\) index of the global attractor for a class of \(p\)-Laplacian equations. (English) Zbl 1205.35034
Reviewer: Jauber C. Oliveira (Florianopolis)
Complete Lyapunov surfaces. (English) Zbl 1197.37013
Reviewer: Vladimir Răsvan (Craiova)
WITHDRAWN: Hyperbolic Periodic Points and Hyperbolic Measures with Dominated Splitting. arXiv:1011.6011
Preprint, arXiv:1011.6011 [math.DS] (2010); retraction notice ibid.
A priori bounds via the relative Morse index of solutions of an elliptic system. (English) Zbl 1183.35114
Geometry and dynamics of mildly degenerate Hopf-Neĭmarck-Sacker families near resonance. (English) Zbl 1179.37070
Reviewer: Alois Klíč (Praha)
Computational methods for rigorous analysis of chaotic systems. (English) Zbl 1179.65156
Kocarev, Ljupco (ed.) et al., Intelligent computing based on chaos. Berlin: Springer (ISBN 978-3-540-95971-7/hbk; 978-3-540-95972-4/ebook). Studies in Computational Intelligence 184, 25-51 (2009).
The Lyapunov spectrum of some parabolic systems. (English) Zbl 1180.37051
Reviewer: Helena Mihaljevic-Brandt (Kiel)
Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations. (English) Zbl 1165.65050
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Random periodic solutions of random dynamical systems. (English) Zbl 1162.37023
Reviewer: Edwin Engin Yaz (Milwaukee)
Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions. (English) Zbl 1162.39006
Reviewer: Stefan Balint (Timişoara)
Conley index for random dynamical systems. (English) Zbl 1149.37009
Reviewer: Roman Srzednicki (Kraków)
Topological pressure via saddle points. (English) Zbl 1124.37020
Reviewer: Christian Pötzsche (München)
About the efficiency of fast Lyapunov indicator surfaces and small alignment indicator surfaces. (English) Zbl 1325.70006
Érdi, Bálint (ed.) et al., International conference on actual problems in celestial mechanics and dynamical astronomy, Cluj-Napoca, Romania, May 25–27, 2006. Cluj-Napoca: Presa UniversitarăClujeană/ Cluj University Press (ISBN 978-973-610-555-5/pbk). Publications of the Astronomy Department of the Eötvös University 19, 221-236 (2007).
Stability properties of differential-algebraic equations and Spin-stabilized discretizations. (English) Zbl 1171.65418
Two-dimensional linear dynamic systems with small random terms. (English) Zbl 1168.60021
Jensen, Bjarne S. (ed.) et al., Stochastic economic dynamics. Fredericksberg: Copenhagen Business School Press (ISBN 978-87-630-0185-4/pbk). 101-132 (2007).
Reviewer: Rainer Buckdahn (Brest)
Analytical and numerical investigation of two families of Lorenz-like dynamical systems. (English) Zbl 1130.37018
On chaos of the logistic maps. (English) Zbl 1130.37019
Nonlinear ordinary differential equations. Problems and solutions. A sourcebook for scientists and engineers. (English) Zbl 1130.34002
Oxford Texts in Applied and Engineering Mathematics 11. Oxford: Oxford University Press (ISBN 978-0-19-921203-3/pbk). vi, 587 p. (2007).
Reviewer: Svitlana P. Rogovchenko (Famagusta)
Nonlinear ordinary differential equations. An introduction for scientists and engineers. 4th updated and expanded ed. (English) Zbl 1130.34001
Oxford Texts in Applied and Engineering Mathematics 10. Oxford: Oxford University Press (ISBN 978-0-19-920824-1/hbk; 978-0-19-920825-8/pbk). viii, 531 p. (2007).
Reviewer: Svitlana P. Rogovchenko (Famagusta)
Degenerate cocycle with index-1 and Lyapunov exponents. (English) Zbl 1127.65093
Reviewer: Seenith Sivasundaram (Daytona Beach)
On the determination of the basin of attraction of discrete dynamical systems. (English) Zbl 1120.39018
Reviewer: Fozi Dannan (Damascus)
Periodic points and homoclinic classes. (English) Zbl 1144.37007
Reviewer: Yuri E. Gliklikh (Voronezh)
How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency. (English) Zbl 1110.37034
Reviewer: Alois Klíč (Praha)
Dynamical systems, graphs, and algorithms. (English) Zbl 1130.37002
Lecture Notes in Mathematics 1889. Berlin: Springer (ISBN 978-3-540-35593-9/pbk). xii, 283 p. (2007).
Reviewer: Jörg Härterich (Bochum)
Quadratic automorphisms of a simplex and the asymptotic behavior of their trajectories. (Russian) Zbl 1313.37014
MSC:
37C25
The method of topological sections in the rigorous numerics of dynamical systems. (English) Zbl 1136.37363
The central exponent and asymptotic stability of linear differential algebraic equations of index 1. (English) Zbl 1126.34004
Reviewer: Stephan Trenn (Ilmenau)
Some results of controlled Lorenz system and their application. (Chinese. English summary) Zbl 1104.37301
Ordinary differential equations with applications. (English) Zbl 1120.34002
Series on Applied Mathematics (Singapore) 16. Hackensack, NJ: World Scientific (ISBN 981-256-319-9/hbk). ix, 244 p. (2006).
Reviewer: Behzad Djafari-Rouhani (El-Paso)
MSC:
34-01
Connecting the spatial structure of periodic orbits and invariant manifolds in hyperbolic area-preserving systems. (English) Zbl 1195.37018
Krawczyk method for proving the existence of periodic orbits of infinite dimensional discrete dynamical systems. (English) Zbl 1102.37047
Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 657-662 (2005).
Local Lyapunov exponents and characteristics of fixed/periodic points embedded within a chaotic attractor. (English) Zbl 1084.37027
Random dynamical systems methods in ship stability: a case study. (English) Zbl 1092.34028
Deuschel, Jean-Dominique (ed.) et al., Interacting stochastic systems. Berlin: Springer (ISBN 3-540-23033-5/hbk). 409-433 (2005).
Reviewer: Henri Schurz (Carbondale)
Comparison of finite-dimensional reductions in smooth variational problems with symmetries. (English) Zbl 1088.47056
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Poincaré-Hopf and Morse inequalities for Lyapunov graphs. (English) Zbl 1084.37013
Reviewer: Geoffrey R. Goodson (Towson)
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