Liapunov exponents in high-dimensional symplectic dynamics
Journal Article
·
· J. Stat. Phys.; (United States)
The existence of a thermodynamic limit of the distribution of Liapunov exponents is numerically verified in a large class of symplectic models, ranging from Hamiltonian flows to maps and products of random matrices. In the highly chaotic regime this distribution is approximately model-independent. Near an integrable limit only a few exponents give relevant contribution to the Kolmogorov-Sinai entropy.
- Research Organization:
- Dipartimento di Fisica dell'Universita, Firenze, Italy
- OSTI ID:
- 6459374
- Journal Information:
- J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 46:1-2; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANHARMONIC OSCILLATORS
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
ENTROPY
EQUATIONS
EQUIPMENT
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
KOLMOGOROV EQUATION
LYAPUNOV METHOD
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
NONLINEAR PROBLEMS
OSCILLATORS
PARTICLE INTERACTIONS
PARTICLE MODELS
PHYSICAL PROPERTIES
PROBABILITY
QUANTUM OPERATORS
RANDOMNESS
SIMULATION
SPECTRA
STATISTICAL MECHANICS
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANHARMONIC OSCILLATORS
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
ENTROPY
EQUATIONS
EQUIPMENT
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
KOLMOGOROV EQUATION
LYAPUNOV METHOD
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
NONLINEAR PROBLEMS
OSCILLATORS
PARTICLE INTERACTIONS
PARTICLE MODELS
PHYSICAL PROPERTIES
PROBABILITY
QUANTUM OPERATORS
RANDOMNESS
SIMULATION
SPECTRA
STATISTICAL MECHANICS
THERMODYNAMIC PROPERTIES
THERMODYNAMICS