Multi-separation, centrifugality and centripetality imply chaos

DOI10.1090/S0002-9947-99-02191-1zbMATH Open0924.58050OpenAlexW1582410815MaRDI QIDQ4216324

Jie Hua Mai

Publication date: 26 October 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02191-1

zbMATH Keywords

chaosturbulenceperiodcentripetal pointreturn trajectorycentrifugal point

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18) Low-dimensional dynamical systems (37E99)

Cites Work

• Unnamed Item
• A characterization of chaos
• No Division Implies Chaos
• Characterizations of Turbulent One-Dimensional Mappings Via ω-Limit Sets
• Period Three Implies Chaos

Related Items (5)

Stability of periodic orbits and return trajectories of continuous multi-valued maps on intervals ⋮ The strongly simple cycles with given rotation pairs of an interval map ⋮ Turbulences and strict return trajectory types of interval mappings ⋮ Iteration Theory: Dynamical Systems and Functional Equations ⋮ Retracts, fixed point property and existence of periodic points

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