On the periodic points of functions on a manifold

DOI10.1090/S0002-9939-02-06361-XzbMath1042.37018MaRDI QIDQ4330588

Chung-Wu Ho

Publication date: 13 May 2002

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

zbMATH Keywords

manifoldsdigraphsperiodic pointshomotopysmall perturbationcontinuous map on a manifold

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point theorems on manifolds (58C30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Low-dimensional dynamical systems (37E99)

Related Items (2)

Robustly non-hyperbolic transitive symplectic dynamics ⋮ Robust tangencies of large codimension

Cites Work

• Unnamed Item
• A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
• On Block's Condition for Simple Periodic Orbits of Functions on an Interval
• On the Topology of the Set of Completely Unstable Flows
• Period Three Implies Chaos
• Differential Topology
• Elementary Differential Topology. (AM-54)

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