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Dynamics of ensemble of nonlocally coupled Henon-Lozi maps

Elena Rybalova1, Vladislav Averianov1
1Saratov State University, Saratov, Russia

Abstract

In this paper, we have studied the dynamics of a ring of nonlocally coupled Henon-Lozi maps. These maps can demonstrate both the dynamics close to dynamics of the Henon maps and dynamics of the Lozi maps when the control parameter is varied. Our studies have shown that, with a variation of the parameter that controls the type of dynamics of partial elements, the ring of nonlocally coupled Henon-Lozi maps is capable of demonstrating both solitary states and chimera states.

The research was carried out in the framework of the grant of the Russian Science Foundation (project no. 20-12-00119).

Speaker

Vladislav Averianov
Saratov State University
Russia

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