Phase transitions in thermodynamics of a local Lyapunov exponent for fully-developed chaotic systems

DOI10.1007/BF01055698zbMath0892.58061MaRDI QIDQ1203306

H. Shigematsu

Publication date: 27 October 1993

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

zbMATH Keywords

entropythermodynamicsexact solutionsfirst-order phase transitionscoexisting statesfully developed chaoslocal Ljapunov exponent

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99)

Related Items (2)

Statistical properties of chaos demonstrated in a class of one-dimensional maps ⋮ Statistical-thermodynamic approach to a chaotic dynamical system: exactly solvable examples.

Cites Work

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• Properties of fully developed chaos in one-dimensional maps
• Is the dimension of chaotic attractors invariant under coordinate changes?
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Statistical-thermodynamic approach to a chaotic dynamical system: exactly solvable examples.
• Statistical Dynamics Generated by Fluctuations of Local Lyapunov Exponents
• Towards the Statistical Mechanics of Chaos
• Fractal measures and their singularities: The characterization of strange sets
• Ergodic theory of chaos and strange attractors

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