Found 259 Documents (Results 1–100)
Criterion for the existence of a connected characteristic space of orbits in a gradient-like diffeomorphism of a surface. (English. Russian original) Zbl 07877899
Izv. Math. 88, No. 3, 515-541 (2024); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 88, No. 3, 111-138 (2024).
Classification of axiom a diffeomorphisms with orientable codimension one expanding attractors and contracting repellers. (English) Zbl 07851476
Chaos of multi-dimensional weakly hyperbolic equations with general nonlinear boundary conditions. (English) Zbl 1542.35246
Dimension approximation in smooth dynamical systems. (English) Zbl 1541.37025
Reviewer: Matheus Cheque Bortolan (Florianópolis)
The Morse equation in the Conley index theory for discrete multivalued dynamical systems. (English) Zbl 1532.37019
Reviewer: Luis Hernández Corbato (Madrid)
Basins of fixed points for composition of the Lotka-Volterra mappings and their classification. (English) Zbl 1525.37042
Reviewer: Kwok-wai Chung (Hong Kong)
On one-dimensional contracting repellers of \(A\)-endomorphisms of the 2-torus. (English. Russian original) Zbl 1516.37027
Math. Notes 113, No. 4, 593-597 (2023); translation from Mat. Zametki 113, No. 4, 613-617 (2023).
There are no structural stable axiom a 3-diffeomorphisms with dynamics “one-dimensional surfaced attractor-repeller”. (English) Zbl 1510.37036
Dimension estimates for repellers and expanding measures of \(C^1\) dynamical systems. (English) Zbl 07906564
Repellers for the Laguerre iteration function. (English) Zbl 1523.39013
Pinto, Carla M. A. (ed.), Nonlinear dynamics and complexity. Mathematical modelling of real-world problems. Cham: Springer. Nonlinear Syst. Complex. 36, 201-219 (2022).
The existence of Li-Yorke chaos in certain predator-prey system of difference equations. (English) Zbl 1513.39042
Existence and uniqueness for directional attractors of topological cocycles. (English) Zbl 1507.37010
On decomposition of ambient surfaces admitting \(A\)-diffeomorphisms with non-trivial attractors and repellers. (English) Zbl 1498.37051
Conley index theory and the attractor-repeller decomposition for differential inclusions. (English) Zbl 1501.37017
Reviewer: Zdzisław Dzedzej (Gdańsk)
Chaos analysis for a class of hyperbolic equations with nonlinear boundary conditions. (English) Zbl 1490.35222
Analysis of a class of Lotka-Volterra systems. (English) Zbl 1496.34086
Reviewer: Eduard Musafirov (Grodno)
A Conley-type Lyapunov function for the strong chain recurrent set. (English) Zbl 1490.37016
Reviewer: Matheus Cheque Bortolan (Florianópolis)
Continuity of sub-additive topological pressure with matrix cocycles. (English) Zbl 1493.37071
Reviewer: Anthony Quas (Victoria)
A new system with a self-excited fully-quadratic strange attractor and its twin strange repeller. (English) Zbl 1493.37041
Stokesian motion of a spherical particle near a right corner made by tangentially moving walls. (English) Zbl 1496.76043
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension. (English) Zbl 1477.28007
Reviewer: Peter Massopust (München)
On \(DA\)-endomorphisms of the two-dimensional torus. (English. Russian original) Zbl 1476.37045
Sb. Math. 212, No. 5, 698-725 (2021); translation from Mat. Sb. 212, No. 5, 102-132 (2021).
Existence of an energy function for three-dimensional chaotic “Sink-source” cascades. (English) Zbl 1476.37043
Reviewer: Boris S. Kruglikov (Tromsø)
A partially diffusive cholera model based on a general second-order differential operator. (English) Zbl 1470.35371
Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics. (English) Zbl 1468.34053
Reviewer: Albert Luo (Edwardsville)
Algebraic analysis of bifurcations and chaos for discrete dynamical systems. (English) Zbl 07441068
Slamanig, Daniel (ed.) et al., Mathematical aspects of computer and information sciences. 8th international conference, MACIS 2019, Gebze, Turkey, November 13–15, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11989, 169-184 (2020).
Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller. (English) Zbl 1455.37040
Reviewer: Cristian Lăzureanu (Timisoara)
On the construction of one-dimensional discrete chaos theory based on the improved version of Marotto’s theorem. (English) Zbl 1445.37032
Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics. (English) Zbl 1447.37050
Nonautonomous Conley index theory the connecting homomorphism. (English) Zbl 1436.37019
Reviewer: Thomas J. Bartsch (Gießen)
Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. (English) Zbl 1427.37018
Nonautonomous Conley index theory. Continuation of Morse-decompositions. (English) Zbl 1440.37023
Reviewer: Thomas J. Bartsch (Gießen)
Nonautonomous Conley index theory. the homology index and attractor-repeller decompositions. (English) Zbl 1418.37025
Reviewer: Zdzisław Dzedzej (Gdansk)
Representation of spaciously situated perfect attractors of diffeomorphisms by geodesic laminations. (Russian. English summary) Zbl 1449.37021
Reviewer: Artyom Andronov (Saransk)
Surgery operation for Anosov endomorphism gives no expanding attractor. (Russian. English summary) Zbl 07104513
Chaos induced by snap-back repellers in non-autonomous discrete dynamical systems. (English) Zbl 1394.37032
Topological dynamics on finite directed graphs. (English) Zbl 1396.54034
Reviewer: Mihai Turinici (Iaşi)
MSC:
54H20
37C70
The existence of a connected characteristic space for the gradient-like diffeomorphisms of surfaces. (Russian. English summary) Zbl 1399.37014
Reviewer: Boris V. Loginov (Ul’yanovsk)
On existence of an endomorphism of 2-torus with strictly invariant repeller. (Russian. English summary) Zbl 1399.37019
Reviewer: Boris V. Loginov (Ul’yanovsk)
On hyperbolic attractors and repellers of endomorphisms. (Russian. English summary) Zbl 1382.37030
Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes. (English) Zbl 1384.54023
Reviewer: Thomas B. Ward (Leeds)
On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators. (English) Zbl 1376.34042
Omega limits, prolongational limits and almost periodic points of a continuous flow via exterior spaces. (English) Zbl 1379.54033
Reviewer: Thomas B. Ward (Leeds)
MSC:
54H20
37B99
Hausdorff dimension of limit sets. (English) Zbl 1387.37027
Reviewer: Lin Shu (Beijing)
Lyapunov exponents. (English) Zbl 1407.37001
Cham: Birkhäuser (ISBN 978-3-319-71260-4/hbk; 978-3-319-71261-1/ebook). xi, 273 p. (2017).
Reviewer: Ivan Podvigin (Novosibirsk)
On three types of dynamics and the notion of attractor. (English. Russian original) Zbl 1377.37040
Proc. Steklov Inst. Math. 297, 116-137 (2017); translation from Tr. Mat. Inst. Steklova 297, 133-157 (2017).
Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics. (English) Zbl 1384.37028
Reviewer: Hans Crauel (Frankfurt am Main)
A weaker sufficient condition for the chaoticity of extended perturbation-based updating system for global optimization. (English) Zbl 1370.90202
On the uniqueness of an ergodic measure of full dimension for non-conformal repellers. (English) Zbl 1379.37056
Rectifiability of a class of invariant measures with one non-vanishing Lyapunov exponent. (English) Zbl 1373.37077
A perturbation based chaotic system exploiting the quasi-Newton method for global optimization. (English) Zbl 1366.90172
Further study of simple Smale flows using four band templates. (English) Zbl 1369.37036
Reviewer: Miguel Paternain (Montevideo)
Finiteness and existence of attractors and repellers on sectional hyperbolic sets. (English) Zbl 1369.37041
Alternating Heegaard diagrams and Williams solenoid attractors in 3-manifolds. (English) Zbl 1375.57029
Reviewer: Dieter Erle (Dortmund)
Every 3-manifold admits a structurally stable nonsingular flow with three basic sets. (English) Zbl 1366.37045
Particle swarm optimization with stochastic selection of perturbation-based chaotic updating system. (English) Zbl 1410.90279
Chaos in a model for masting. (English) Zbl 1343.37021
Topological classification of structurally stable 3-diffeomorphisms with two-dimensional basis sets. (English. Russian original) Zbl 1371.37051
Math. Notes 97, No. 2, 304-306 (2015); translation from Mat. Zametki 97, No. 2, 151-153 (2015).
Topological classification of surface diffeomorphisms with one-dimensional invariant transitive sets. (Russian. English summary) Zbl 1340.37027
Reviewer: Boris V. Loginov (Ul’yanovsk)
On the topological conjugacy of gradient-like diffeomorphisms of surfaces with one-dimensional invariant sets. (Russian. English summary) Zbl 1340.37039
Reviewer: Boris V. Loginov (Ul’yanovsk)
Dolcher fixed point theorem and its connections with recent developments on compressive/ expansive maps. (English) Zbl 1362.37080
On topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers. (Russian. English summary) Zbl 1347.37039
On families of diffeomorphisms with bifurcations of attractive and repelling sets. (English) Zbl 1300.37037
MSC:
37G35
Some recent progress concerning topology of fractals. (English) Zbl 1322.54002
Hart, K. P. (ed.) et al., Recent progress in general topology III. Based on the presentations at the Prague symposium, Prague, Czech Republic, 2001. Amsterdam: Atlantis Press (ISBN 978-94-6239-023-2/hbk; 978-94-6239-024-9/ebook). 69-92 (2014).
Reviewer: Irmina Herburt (Warsaw)
Generic property of irregular sets in systems satisfying the specification property. (English) Zbl 1280.54024
Reviewer: Antonio Linero Bas (Murcia)
Dimensions of random average conformal repellers. (English) Zbl 1317.37029
Reviewer: Katrin Gelfert (Rio de Janeiro)
Distributional chaos caused by snap-back repeller in metric space. (English) Zbl 1306.37017
MSC:
37B40
Snap-back repeller and chaos in transiently chaotic neural network. (Chinese. English summary) Zbl 1299.37039
A chaotic particle swarm optimization exploiting a virtual quartic objective function based on the personal and global best solutions. (English) Zbl 1291.90328
Multifractal analysis of asymptotically additive sequences. (English) Zbl 1286.37029
Reviewer: Ivan Podvigin (Novosibirsk)
Asymptotic stability at infinity for bidimensional Hurwitz vector fields. (English) Zbl 1328.37041
Reviewer: Grzegorz Świątek (Warszawa)
Dimension spectrum of asymptotically additive potentials for \(C^1\) average conformal repellers. (English) Zbl 1306.37032
Reviewer: Christian Pötzsche (Klagenfurt)
A sufficient condition for chaos in the gradient model with perturbation method for global optimization. (English) Zbl 1272.37021
Morse decomposition of attractors for non-autonomous dynamical systems. (English) Zbl 1307.37009
Reviewer: Matheus Cheque Bortolan (Florianópolis)
On the existence of attractors. (English) Zbl 1272.37019
Reviewer: Piotr Oprocha (Kraków)
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