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

^*此作品的通讯作者

杭州国际创新研究院

IBM

科研成果: 期刊稿件 › 文章 › 同行评审

149 引用（Scopus）

摘要

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.

源语言	英语
文章编号	013
页（从-至）	2157-2165
页数	9
期刊	Journal of Physics A: Mathematical and General
卷	18
期	12
DOI	https://doi.org/10.1088/0305-4470/18/12/013
出版状态	已出版 - 1985

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10.1088/0305-4470/18/12/013

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AU - Paladin, G.

AU - Parisi, G.

AU - Vulpiani, A.

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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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SP - 2157

EP - 2165

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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Characterisation of intermittency in chaotic systems

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