Asymptotic behaviour of iterated piecewise monotone maps

DOI10.1017/S0143385700004351zbMath0646.26005MaRDI QIDQ3789811

Jürgen Willms

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

sinkhomtervalasymptotic behaviour of iterates of piecewise monotone continuous functions

Mathematics Subject Classification ID

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

Related Items

Topologically transitive subsets of piecewise monotonic maps, which contain no periodic points ⋮ Thermodynamical and spectral phase transition for local diffeomorphisms in the circle ⋮ What you need to know to knead ⋮ Topological semi-conjugacies between adding machines

Cites Work

• Unnamed Item
• Universal properties of maps on an interval
• The structure of Lorenz attractors
• Quantitative universality for a class of nonlinear transformations
• Representations for real numbers and their ergodic properties
• Period Three Implies Chaos
• Simple mathematical models with very complicated dynamics
• Symbolic Dynamics and Transformations of the Unit Interval
• Interval exchange transformations