Entropy potential and Lyapunov exponents

Year: 1997

Authors: Lepri S., Politi A., Torcini A.

Autors Affiliation: Max Planck Institut für Physik Koplexer Systeme Nöthnitzer Str. 38, D-01187 Dresden, Germany;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Dipartimento di Energeica “S. Stecco”, 50139 Firenze, Italy;
Istituto Nazionale di Fisica della Materia, 50125 Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sez. di Firenze, 50125 Firenze, Italy

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.

Journal/Review: CHAOS

Volume: 7 (4)      Pages from: 701  to: 709

KeyWords: Dynamical-systems; Information
DOI: 10.1063/1.166268

Citations: 8
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