Intermittency at the Boundary of Generalized Synchronization in Mutually Coupled Systems with Complex Attractor Topology

Abstract

The mechanisms of occurrence and characteristics of intermittency at the boundary of generalized synchronization in mutually coupled systems with complex (two-sheet) chaotic attractor topology are investigated. It has been established that the occurrence of intermittency in this case is due to the imaging point jump from one sheet of the chaotic attractor to another. At the same time, distributions of laminar phase durations and dependences of average laminar phase durations on the supercriticality parameter obey exponential laws.