Global Synchronization & Anti-Synchronization in N-Coupled Map Lattices

Abstract

By considering a symmetric N-dimensional map which possesses invariant measure in its diagonal and anti-diagonal invariant sub-manifolds, we have been able to propose an N-coupled map which possesses invariant measure in synchronized or anti-synchronized states. Then chaotic synchronization and anti-synchronization are investigated in the introduced model. We have calculated Kolmogrov-Sinai entropy and Lyapunov exponent as another tool to study the stability of N-coupled map in synchronized and anti-synchronization states.

Multiple-watermarking scheme based on improved chaotic maps

“…The pair-coupled map with ergodic behavior can be considered as a two-dimensional dynamical map defined as [18]:…”