Characterisation of intermittency in chaotic systems

R. Benzi; G. Paladin; G. Parisi; A. Vulpiani

doi:10.1088/0305-4470/18/12/013

Characterisation of intermittency in chaotic systems

R. Benzi^*
, G. Paladin
, G. Parisi
, A. Vulpiani

^*Corresponding author for this work

Hangzhou International Innovation Institute

IBM

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

149 Scopus citations

Abstract

The authors discuss the characterisation of intermittency in chaotic dynamical systems by means of the time fluctuations of the response to a slight perturbation on the trajectory. A set of exponents is introduced which generalise the maximum Lyapunov characteristic exponent. The link with the statistical mechanics formalism is emphasised and they show that the exponents are connected to a free energy formally defined for chaotic systems. They perform some analytical computations in simple cases and give a few numerical examples.

Original language	English
Article number	013
Pages (from-to)	2157-2165
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	18
Issue number	12
DOIs	https://doi.org/10.1088/0305-4470/18/12/013
State	Published - 1985

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title = "Characterisation of intermittency in chaotic systems",

abstract = "The authors discuss the characterisation of intermittency in chaotic dynamical systems by means of the time fluctuations of the response to a slight perturbation on the trajectory. A set of exponents is introduced which generalise the maximum Lyapunov characteristic exponent. The link with the statistical mechanics formalism is emphasised and they show that the exponents are connected to a free energy formally defined for chaotic systems. They perform some analytical computations in simple cases and give a few numerical examples.",

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AU - Benzi, R.

AU - Paladin, G.

AU - Parisi, G.

AU - Vulpiani, A.

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N2 - The authors discuss the characterisation of intermittency in chaotic dynamical systems by means of the time fluctuations of the response to a slight perturbation on the trajectory. A set of exponents is introduced which generalise the maximum Lyapunov characteristic exponent. The link with the statistical mechanics formalism is emphasised and they show that the exponents are connected to a free energy formally defined for chaotic systems. They perform some analytical computations in simple cases and give a few numerical examples.

AB - The authors discuss the characterisation of intermittency in chaotic dynamical systems by means of the time fluctuations of the response to a slight perturbation on the trajectory. A set of exponents is introduced which generalise the maximum Lyapunov characteristic exponent. The link with the statistical mechanics formalism is emphasised and they show that the exponents are connected to a free energy formally defined for chaotic systems. They perform some analytical computations in simple cases and give a few numerical examples.

UR - https://www.scopus.com/pages/publications/36149037990

U2 - 10.1088/0305-4470/18/12/013

DO - 10.1088/0305-4470/18/12/013

M3 - 文章

AN - SCOPUS:36149037990

SN - 0305-4470

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Characterisation of intermittency in chaotic systems

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