Periodic points and chaos for expanding self-maps of the interval

DOI10.1017/S0004972700009394zbMath0558.54033MaRDI QIDQ3223537

Zhen-hua Zhang

Publication date: 1985

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

zbMATH Keywords

periodic pointschaotic functionsexpanding self-maps on the unit intervalfinite number of turning points

Mathematics Subject Classification ID

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

Cites Work

• A note on 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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