Complex dynamics in a two-dimensional noninvertible map

DOI10.1016/j.chaos.2007.06.051zbMath1197.37057OpenAlexW2045817086MaRDI QIDQ712075

Ying-Hui Gao

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.06.051

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

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Cites Work

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• Chaos and fractal properties induced by noninvertibility of models in the form of maps
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Chaotic meander of spiral waves in the FitzHugh-Nagumo system
• Elastic buckling loads and fission critical mass as an eigenvalue of a symmetry breaking bifurcation
• On redefining a snap-back repeller
• Multiconnected chaotic areas in second-order endomorphisms
• Period Three Implies Chaos
• ON THE MATHEMATICAL CLARIFICATION OF THE SNAP-BACK-REPELLER IN HIGH-DIMENSIONAL SYSTEMS AND CHAOS IN A DISCRETE NEURAL NETWORK MODEL

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