Entropy potential and Lyapunov exponents

S Lepri, A Politi, A Torcini

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a continuous-time model provides a further confirmation to the existence of the entropy potential. Furthermore, it is shown that the knowledge of the entropy potential allows determining also Lyapunov spectra in general reference frames where the time-like and space-like axes point along generic directions in the space-time plane. Finally, the existence of an entropy potential implies that the integrated density of positive exponents (Kolmogorov-Sinai entropy) is independent of the chosen reference frame. (C) 1997 American Institute of Physics.

Original languageEnglish
Pages (from-to)701-709
Number of pages9
JournalChaos
Volume7
Issue number4
Publication statusPublished - Dec 1997

Keywords

  • DYNAMICAL-SYSTEMS
  • INFORMATION

Cite this

Lepri, S., Politi, A., & Torcini, A. (1997). Entropy potential and Lyapunov exponents. Chaos, 7(4), 701-709.

Entropy potential and Lyapunov exponents. / Lepri, S ; Politi, A ; Torcini, A .

In: Chaos, Vol. 7, No. 4, 12.1997, p. 701-709.

Research output: Contribution to journalArticle

Lepri, S, Politi, A & Torcini, A 1997, 'Entropy potential and Lyapunov exponents' Chaos, vol. 7, no. 4, pp. 701-709.
Lepri S, Politi A, Torcini A. Entropy potential and Lyapunov exponents. Chaos. 1997 Dec;7(4):701-709.
Lepri, S ; Politi, A ; Torcini, A . / Entropy potential and Lyapunov exponents. In: Chaos. 1997 ; Vol. 7, No. 4. pp. 701-709.
@article{e51a583151764c0b8d87c236b6878a09,
title = "Entropy potential and Lyapunov exponents",
abstract = "According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a continuous-time model provides a further confirmation to the existence of the entropy potential. Furthermore, it is shown that the knowledge of the entropy potential allows determining also Lyapunov spectra in general reference frames where the time-like and space-like axes point along generic directions in the space-time plane. Finally, the existence of an entropy potential implies that the integrated density of positive exponents (Kolmogorov-Sinai entropy) is independent of the chosen reference frame. (C) 1997 American Institute of Physics.",
keywords = "DYNAMICAL-SYSTEMS, INFORMATION",
author = "S Lepri and A Politi and A Torcini",
year = "1997",
month = "12",
language = "English",
volume = "7",
pages = "701--709",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "4",

}

TY - JOUR

T1 - Entropy potential and Lyapunov exponents

AU - Lepri, S

AU - Politi, A

AU - Torcini, A

PY - 1997/12

Y1 - 1997/12

N2 - According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a continuous-time model provides a further confirmation to the existence of the entropy potential. Furthermore, it is shown that the knowledge of the entropy potential allows determining also Lyapunov spectra in general reference frames where the time-like and space-like axes point along generic directions in the space-time plane. Finally, the existence of an entropy potential implies that the integrated density of positive exponents (Kolmogorov-Sinai entropy) is independent of the chosen reference frame. (C) 1997 American Institute of Physics.

AB - According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a continuous-time model provides a further confirmation to the existence of the entropy potential. Furthermore, it is shown that the knowledge of the entropy potential allows determining also Lyapunov spectra in general reference frames where the time-like and space-like axes point along generic directions in the space-time plane. Finally, the existence of an entropy potential implies that the integrated density of positive exponents (Kolmogorov-Sinai entropy) is independent of the chosen reference frame. (C) 1997 American Institute of Physics.

KW - DYNAMICAL-SYSTEMS

KW - INFORMATION

M3 - Article

VL - 7

SP - 701

EP - 709

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 4

ER -