Transitional chimeras and solitary states in a ring of nonlocally coupled discrete van der Pol oscillators

Abstract

We study a ring of nonlocally coupled discrete van der Pol oscillators. The transition from continuous-time van der Pol oscillators to discrete-time oscillators is carried out using the Euler-Cromer method. Our research has shown that the ensemble with such partial elements can demonstrate a variety of spatiotemporal regimes. Particular attention is paid to modes that are transitional. In our system, these are chimera states and regimes of coexistence of solitary states with traveling waves. Both of these regimes pass over time to traveling wave regimes, while the transition time depends both on the parameters of the system and on the initial conditions of the dynamic variables.

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

Speaker

Elena Rybalova
Saratov State University
Russia

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