Properties of fully developed chaos in one-dimensional maps

DOI10.1007/BF01018554zbMath0587.58029OpenAlexW204848748MaRDI QIDQ1072186

P. Szépfalusy, Géza Györgyi

Publication date: 1984

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01018554

zbMATH Keywords

chaosperturbation theoryprobability distributioncorrelation functionLyapunov exponent

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Properties of maps related to flows around a saddle point, Statistical properties of chaos demonstrated in a class of one-dimensional maps, Externally induced changes in chaotic behaviour: A phase transition, Rigorous statistical procedures for data from dynamical systems, On the construction of one-dimensional iterative maps from the invariant density: The dynamical route to the beta distribution., Phase transitions in thermodynamics of a local Lyapunov exponent for fully-developed chaotic systems, A Turning Point Analysis of the Ergodic Dynamics of Iterative Maps, Turning point properties as a method for the characterization of the ergodic dynamics of one-dimensional iterative maps, Effects of phase space discretization on the long-time behavior of dynamical systems, Examples of expanding \(C^1\) maps having no \(\sigma\)-finite invariant measure equivalent to Lebesgue, Noisy one-dimensional maps near a crisis. II: General uncorrelated weak noise

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