Periodic points and chaos for expanding maps of the interval

DOI10.1017/S0004972700007450zbMath0458.58015MaRDI QIDQ3908209

W. Byers

Publication date: 1981

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

chaotic behaviourexpanding mapspiecewise monotonic maps of the unit interval

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic behavior (37D99)

Related Items (2)

An example of a bifurcation from fixed points to period 3 points ⋮ Resolution of chaos with application to a modified Samuelson model

Cites Work

• A note on chaos
• Permutations, periodicity, and chaos
• The dynamics of density dependent population models
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Period Three Implies Chaos

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