Attractor coexistence in the multistable system with slow variation of the parameter

A.V. Savin, D.V. Savin

Chernyshevsky Saratov State University, Russia

Systems with slow variation of the parameter have been widely studied during several decades, and are still popular subject for both theoretical and applied research. Usually such investigations are carried out for systems with the only equilibrium or systems possessing coexistence of a small number of attractors. In the present work we study the dynamics of the weakly dissipative system, possessing strong multistability, under the slow variation of the nonlinearity parameter at different dissipation levels.