Chronotopic Lyapunov analysis .2. Toward a unified approach

S  Lepri; A  Politi; A  Torcini

Chronotopic Lyapunov analysis .2. Toward a unified approach

S Lepri, A Politi, A Torcini

Physics

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

17 Citations (Scopus)

Abstract

From the analyticity properties of the equation governing infinitesimal perturbations, it is conjectured that all types of Lyapunov exponents introduced in spatially extended 1D systems can be derived from a single function that we call the entropy potential. The general consequences of its very existence on the Kolmogorov-Sinai entropy of generic spatiotemporal patterns are discussed.

Original language	English
Pages (from-to)	31-45
Number of pages	15
Journal	Journal of Statistical Physics
Volume	88
Issue number	1-2
Publication status	Published - Jul 1997

Keywords

spatiotemporal chaos
coupled map lattices
entropy potential
comoving Lyapunov exponents
SYSTEMS
CHAOS

Cite this

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title = "Chronotopic Lyapunov analysis .2. Toward a unified approach",

abstract = "From the analyticity properties of the equation governing infinitesimal perturbations, it is conjectured that all types of Lyapunov exponents introduced in spatially extended 1D systems can be derived from a single function that we call the entropy potential. The general consequences of its very existence on the Kolmogorov-Sinai entropy of generic spatiotemporal patterns are discussed.",

keywords = "spatiotemporal chaos, coupled map lattices, entropy potential, comoving Lyapunov exponents, SYSTEMS, CHAOS",

author = "S Lepri and A Politi and A Torcini",

year = "1997",

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language = "English",

volume = "88",

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T1 - Chronotopic Lyapunov analysis .2. Toward a unified approach

AU - Lepri, S

AU - Politi, A

AU - Torcini, A

PY - 1997/7

Y1 - 1997/7

N2 - From the analyticity properties of the equation governing infinitesimal perturbations, it is conjectured that all types of Lyapunov exponents introduced in spatially extended 1D systems can be derived from a single function that we call the entropy potential. The general consequences of its very existence on the Kolmogorov-Sinai entropy of generic spatiotemporal patterns are discussed.

AB - From the analyticity properties of the equation governing infinitesimal perturbations, it is conjectured that all types of Lyapunov exponents introduced in spatially extended 1D systems can be derived from a single function that we call the entropy potential. The general consequences of its very existence on the Kolmogorov-Sinai entropy of generic spatiotemporal patterns are discussed.

KW - spatiotemporal chaos

KW - coupled map lattices

KW - entropy potential

KW - comoving Lyapunov exponents

KW - SYSTEMS

KW - CHAOS

M3 - Article

SN - 0022-4715

VL - 88

SP - 31

EP - 45

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

Chronotopic Lyapunov analysis .2. Toward a unified approach

Abstract

Keywords

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