Dynamical mechanism of anticipating synchronization in excitable systems

Year: 2004

Authors: Ciszak M., Marino F., Toral R., Balle S.

Autors Affiliation: Departament de Física, Universitat de Les Illes Balears, Campus UIB, 07122 Palma de Mallorca, Spain; Inst. Mediterraneo Estud. Avanzados, CSIC-UIB, C. Miquel Marques 21, 07190, Esporles, Spain

Abstract: The phenomenon of anticipating synchronization of two excitable systems with unidirectional delayed coupling, subject to the same external forcing, was studied. For different paradigms of excitable systems, it was demonstrated that the excitability threshold for the slave system is always lower than that for the master due to the coupling. It was shown that the two systems respond to a common external forcing with different response time as a consequence of this phenomena. It was also shown that the anticipation time is limited by the response time of the master system.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 93 (11)      Pages from: 114102  to: 1

KeyWords: Chaos theory; Functions; Gaussian noise (electronic); Loads (forces); Mathematical models; Nonlinear systems; Perturbation techniques; Semiconductor lasers, Adler\’s equations; Coupling strength; Excitable systems; Nonlinear dynamical systems, Synchronization
DOI: 10.1103/PhysRevLett.93.114102