Generalized Lyapunov exponents in high-dimensional chaotic dynamics and products of large random matrices

Journal Article · Tue Nov 01 04:00:00 EST 1988 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01014215· OSTI ID:6218573

Crisanti, A; Paladin, G; Vulpiani, A

We study the behavior of the generalized Lyapunov exponents for chaotic symplectic dynamical systems and products of random matrices in the limit of large dimensions D. For products of random matrices without any particular structure the generalized Lyapunov exponents become equal in this limit and the value of one of the generalized Lyapunov exponents is obtained by simple arguments. On the contrary, for random symplectic matrices with peculiar structures and for chaotic symplectic maps the generalized Lyapunov exponents remains different for D ..-->.. infinity, indicating that high dimensionality cannot always destroy intermittency.

• Research Organization: Hebrew Univ., Jerusalem (Israel)
• OSTI ID: 6218573
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 53:3-4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
LIE GROUPS
LYAPUNOV METHOD
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATRICES
MECHANICS
NOISE
PROBABILITY
RANDOMNESS
RESPONSE FUNCTIONS
SP GROUPS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
SYMMETRY GROUPS
THERMODYNAMICS
TRANSFORMATIONS