A remark concerning the thermodynamical limit of the Lyapunov spectrum

Ya G. Sinai

doi:10.1142/S021812749600062X

A remark concerning the thermodynamical limit of the Lyapunov spectrum

Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We consider dynamical systems of N particles confined in domains of volume V with pair-wise short range interaction. We propose a new definition of the limiting distribution of Lyapunov Spectrum according to which the thermodynamical limit transition is taken before the limit t → ∞. The main result proven under rather general conditions gives the existence of this modified limiting distribution of Lyapunov Spectrum.

Original language	English (US)
Pages (from-to)	1137-1142
Number of pages	6
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	6
Issue number	6
DOIs	https://doi.org/10.1142/S021812749600062X
State	Published - Jun 1996

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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10.1142/S021812749600062X

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title = "A remark concerning the thermodynamical limit of the Lyapunov spectrum",

abstract = "We consider dynamical systems of N particles confined in domains of volume V with pair-wise short range interaction. We propose a new definition of the limiting distribution of Lyapunov Spectrum according to which the thermodynamical limit transition is taken before the limit t → ∞. The main result proven under rather general conditions gives the existence of this modified limiting distribution of Lyapunov Spectrum.",

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AB - We consider dynamical systems of N particles confined in domains of volume V with pair-wise short range interaction. We propose a new definition of the limiting distribution of Lyapunov Spectrum according to which the thermodynamical limit transition is taken before the limit t → ∞. The main result proven under rather general conditions gives the existence of this modified limiting distribution of Lyapunov Spectrum.

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U2 - 10.1142/S021812749600062X

DO - 10.1142/S021812749600062X

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SP - 1137

EP - 1142

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

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ER -

A remark concerning the thermodynamical limit of the Lyapunov spectrum

Abstract

All Science Journal Classification (ASJC) codes

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