On multistability near the boundary of generalized synchronization in unidirectionally coupled chaotic systems

Multistability in the intermittent generalized synchronization regime in unidirectionally coupled chaotic systems has been found. To study such a phenomenon, the method for revealing the existence of multistable states in interacting systems being the modification of an auxiliary system approach has been proposed. The efficiency of the method has been testified using the examples of unidirectionally coupled logistic maps and Rossler systems being in the intermittent generalized synchronization regime. The quantitative characteristic of multistability has been introduced into consideration.

Automated summary

Multistability has been observed in unidirectionally coupled chaotic systems in the intermittent generalized synchronization regime. A method for revealing the existence of multistable states in interacting systems has been proposed, and its efficiency has been demonstrated using examples of logistic maps and Rossler systems in the intermittent generalized synchronization regime. Quantitative characteristics of multistability have been introduced into consideration.