Synchronization of unidirectional time delay chaotic networks and the greatest common divisor
Year: 2011
Type: article
Abstract: We present the interplay between synchronization of unidirectional coupled chaotic nodes with heterogeneous delays and the greatest common divisor (GCD) of loops composing the oriented graph. In the weak-chaos region and for GCD=1 the network is in chaotic zero-lag synchronization, whereas for GCD= m >1 synchronization of m -sublattices emerges. Complete synchronization can be achieved when all chaotic nodes are influenced by an identical set of delays and in particular for the limiting case of homogeneous delays. Results are supported by simulations of chaotic systems, self-consistent and mixing arguments, as well as analytical solutions of Bernoulli maps.
Source: Europhysics Letters (EPL)
Authors: I. Kanter, M. Zigzag, A. Englert, F. Geissler, W. Kinzel
Institutions: Bar-Ilan University, University of Würzburg
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1983752193