Turning point properties as a method for the characterization of the ergodic dynamics of one-dimensional iterative maps

DOI10.1063/1.166249zbMath0938.37003OpenAlexW2084822145WikidataQ73463543 ScholiaQ73463543MaRDI QIDQ4935817

P. Schmelcher, F. K. Diakonos

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166249

zbMATH Keywords

fixed pointschaotic dynamicsturning pointiterative mapsergodic dynamicssymmetric maps

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

A Turning Point Analysis of the Ergodic Dynamics of Iterative Maps

Cites Work

• The universal metric properties of nonlinear transformations
• Properties of fully developed chaos in one-dimensional maps
• On the construction of one-dimensional iterative maps from the invariant density: The dynamical route to the beta distribution.

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