Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent

Journal Article · Tue Aug 01 00:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01044443· OSTI ID:6195120

Vaienti, S ^[1]

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1. CNRS, Marseille (France) Dipartimento di Fisica, Bologna (Italy)

For the Axiom-A attractors a relation is given between the topological pressure and the spectrum of the generalized Lyapunov exponents. As a consequence, a simple formula is found to compute the topological entropy of the attractor by means of a time series. The results are used to compute the large deviations for positive Lyapunov exponents.

• OSTI ID: 6195120
• Journal Information: Journal of Statistical Physics; (USA), Vol. 56:3-4; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MATHEMATICAL MANIFOLDS
TIME-SERIES ANALYSIS
STATISTICAL MECHANICS
LYAPUNOV METHOD
COMPUTERIZED SIMULATION
ENTROPY
ERGODIC HYPOTHESIS
FRACTALS
INVARIANCE PRINCIPLES
MARKOV PROCESS
MEASURE THEORY
PRESSURE DEPENDENCE
RIEMANN SPACE
SET THEORY
THERMODYNAMICS
TOPOLOGY
HYPOTHESIS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
PHYSICAL PROPERTIES
SIMULATION
SPACE
STOCHASTIC PROCESSES
THERMODYNAMIC PROPERTIES
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics