Bifurcation of periodic points of some diffeomorphisms on R3

DOI10.1016/0362-546X(85)90056-2zbMath0584.58036MaRDI QIDQ3706987

Bau-Sen Du

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

horseshoebifurcationperiodic points of diffeomorphisms

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Chaotic orbits for differentiable maps near anti-integrable limits

Cites Work

• Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
• A two-dimensional mapping with a strange attractor
• A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
• On the abundance of aperiodic behaviour for maps on the interval
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Stable and Random Motions in Dynamical Systems
• Simple mathematical models with very complicated dynamics
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