Strange Attractors in a Three-Dimensional Autonomous Polynomial Equation

DOI10.1142/S0218127414501119zbMath1301.34013OpenAlexW2016800360MaRDI QIDQ2932619

Feng Juan Chen, Ji-Bin Li

Publication date: 3 December 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414501119

zbMATH Keywords

SRB measureHénon-like attractorsheteroclinic tangleSmale horseshoehomoclinic tangle

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Dynamics of homoclinic tangles in periodically perturbed second-order equations
• Periodic occurrence of chaotic behavior of homoclinic tangles
• What are SRB measures, and which dynamical systems have them?
• Heteroclinic tangles in time-periodic equations
• Diffeomorphisms with infinitely many sinks
• RANK ONE CHAOS: THEORY AND APPLICATIONS
• Deterministic Nonperiodic Flow
• Understanding Chaotic Dynamical Systems

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