Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network
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Publication:5004082
DOI10.1137/20M1335510zbMath1476.37059arXiv2010.05776MaRDI QIDQ5004082
Publication date: 30 July 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.05776
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical aspects of attractors and their bifurcations (37G35)
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Cites Work
- Unnamed Item
- Dense heteroclinic tangencies near a Bykov cycle
- The dynamics of the Hénon map
- Transition to topological chaos for circle maps
- Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
- Absolutely continuous measures for certain maps of an interval
- Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
- Abundance of strange attractors
- Sinai-Bowen-Ruelle measures for certain Hénon maps
- From invariant curves to strange attractors
- Attractors for robust heteroclinic cycles with continua of connections
- Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
- Chaotic dynamics in the seasonally forced SIR epidemic model
- Rotation intervals and entropy on attracting annular continua
- Persistent switching near a heteroclinic model for the geodynamo problem
- Unfolding a Bykov attractor: from an attracting torus to strange attractors
- Bifurcations from an attracting heteroclinic cycle under periodic forcing
- Toward a theory of rank one attractors
- Dynamics near a periodically-perturbed robust heteroclinic cycle
- A new test for chaos in deterministic systems
- Dissipative homoclinic loops of two-dimensional maps and strange attractors with one direction of instability
- Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria
- Resonance bifurcations from robust homoclinic cycles
- Three-Dimensional Flows
- Structurally stable heteroclinic cycles
- Invariant two-dimensional tori, their breakdown and stochasticity
- Nonlinear Aspects of Competition Between Three Species
- Homoclinic Loops, Heteroclinic Cycles, and Rank One Dynamics
- CHAOTIC BEHAVIOR OF THREE COMPETING SPECIES OF MAY–LEONARD MODEL UNDER SMALL PERIODIC PERTURBATIONS
- Strange attractors with one direction of instability