On complete chaotic maps with tent-map-like structures

DOI10.1016/j.chaos.2004.09.021zbMath1064.37029OpenAlexW1984428079MaRDI QIDQ1775713

Weihong Huang

Publication date: 4 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.021

zbMATH Keywords

invariant measurechaotic mapsunimodal map

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

Related Items (3)

Constructing multi-branches complete chaotic maps that preserve specified invariant density ⋮ Characterizing chaotic processes that generate uniform invariant density ⋮ On the complete chaotic transformations that preserve symmetric invariant densities

Cites Work

• A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties
• The solution of the inverse problem for the Perron-Frobenius equation
• Probabilistic Properties of Deterministic Systems
• Theory and examples of the inverse Frobenius–Perron problem for complete chaotic maps
• Statistical properties of chaos demonstrated in a class of one-dimensional maps

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