Chimeras in multivariable coupled Rossler oscillators

We study the coexistence of synchronous as well as asynchronous dynamical behaviours namely chimera states in an ensemble of nonlinear oscillators coupled through different variables. In this system, such states are a result of multistability induced by the coupling in one variable. By tuning the coupling parameter in a different variable, the region of multistability can be shifted. This provides an additional means to create chimera states. We employ this technique in an ensemble of coupled Rossler systems where we observe that there are multiple attractors and the associated basins are intertwined. For such systems, the strength of incoherence (SI) is a useful order parameter through which chimera states can be effectively characterized. The coexistence of stable synchronized dynamics with desynchronized motion is indicated by the master stability function, which we compute for different attractors. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

The study explores the coexistence of synchronous and asynchronous dynamical behaviors in an ensemble of nonlinear oscillators coupled through different variables, resulting in chimera states. By tuning the coupling parameter in a different variable, the region of multistability can be shifted, providing an additional means to create chimera states. In an ensemble of coupled Rossler systems, multiple attractors and intertwined basins are observed, with the strength of incoherence (SI) serving as a useful order parameter for characterizing chimera states.