Constructing multi-branches complete chaotic maps that preserve specified invariant density

DOI10.1155/2009/378761zbMath1187.37045OpenAlexW1997546313WikidataQ58647465 ScholiaQ58647465MaRDI QIDQ965729

Weihong Huang

Publication date: 26 April 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228291

zbMATH Keywords

chaotic mapsLyapunov component

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

Related Items (6)

A new approach to identification of input-driven dynamical systems from probability densities ⋮ Identification of stochastically perturbed autonomous systems from temporal sequences of probability density functions ⋮ The inverse Frobenius-Perron problem: a survey of solutions to the original problem formulation ⋮ A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems ⋮ Solving the inverse Frobenius-Perron problem using stationary densities of dynamical systems with input perturbations ⋮ Reconstruction of one-dimensional chaotic maps from sequences of probability density functions

Cites Work

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• Constructing chaotic transformations with closed functional forms
• On complete chaotic maps with tent-map-like structures
• Constructing complete chaotic maps with reciprocal structures
• Characterizing chaotic processes that generate uniform invariant density
• On the complete chaotic transformations that preserve symmetric invariant densities
• Constructing an opposite map to a specified chaotic map
• Theory and examples of the inverse Frobenius–Perron problem for complete chaotic maps

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