Chaos synchronization in long-range coupled map lattices

Abstract

We investigate the synchronization phenomenon in coupled chaotic map lattices where the couplings decay with distance following a power-law. Depending on the lattice size, the coupling strength and the range of the interactions, complete chaos synchronization may be attained. The synchronization domain in parameter space can be analytically delimited by means of the condition of negativity of the largest transversal Lyapunov exponent. Here we analyze in detail the role of all the system parameters in the ability of the lattice to achieve complete synchronization, testing analytical results with the outcomes of numerical experiments.

5 pages, 5 figures

References in corpus (3)

• Stability of Synchronized Chaos in Coupled Dynamical Systems
• Analytical results for coupled map lattices with long-range interactions
• The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators

Cited by in corpus (7)

• Coherence in scale-free networks of chaotic maps
• Anomalous synchronization threshold in coupled logistic maps
• Nonlinearly driven transverse synchronization in coupled chaotic systems
• Some aspects of the synchronization in coupled maps
• Complete synchronization equivalence in asynchronous and delayed coupled maps
• From synchronous to one-time delayed dynamics in coupled maps
• Coherence in complex networks of oscillators