Disturbance propagation in chaotic extended systems with long-range coupling

Year: 1997

Authors: Torcini A., Lepri S.

Autors Affiliation: Theoretische Physik, Bergische Universität-Gesamthochschule Wuppertal, 42097 Wuppertal, Germany;
Dipartimento di Fisica, Università di Bologna, 40127 Bologna, Italy;
Istituto Nazionale di Fisica Nucleare, 40127 Bologna, Italy;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: Propagation of initially localized perturbations is investigated in chaotic coupled map lattices with long-range couplings decaying as a power of the distance. The initial perturbation propagates exponentially fast along the lattice, with a rate given by the ratio of the maximal Lyapunov exponent and the power of the coupling. A complementary description in terms of a suitable comoving Lyapunov exponent is also given.

Journal/Review: PHYSICAL REVIEW E

Volume: 55 (4)      Pages from: R3805  to: R3808

KeyWords: NONLINEAR MARGINAL-STABILITY; FRONT PROPAGATION; UNSTABLE STATES; MAP LATTICES;
DOI: 10.1103/PhysRevE.55.R3805

Citations: 31
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