On existence of multistability near the boundary of generalized synchronization in unidirectionally coupled systems with complex topology of attractor

Aim of this work is to study the possibility existence multistability near boundary generalized synchronization in systems with complex attractor topology. Unidirectionally coupled Lorentz have been chosen as an object study, and a modified auxiliary system method has used detect presence synchronous regime. Result proof unidirectionally topology attractor. For purpose, basins attraction asynchronous states interacting Lorenz obtained for value coupling parameter corresponding realization intermittent regime under dependence measure on also calculated. It shown that turns out be positive, which additional confirmation case.