### 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 |
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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

*Journal of Statistical Physics*,

*88*(1-2), 31-45.

**Chronotopic Lyapunov analysis .2. Toward a unified approach.** / Lepri, S ; Politi, A ; Torcini, A .

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 88, no. 1-2, pp. 31-45.

}

TY - JOUR

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

VL - 88

SP - 31

EP - 45

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -