Effect of asymmetry parameter on the dynamical states of nonlocally coupled nonlinear oscillators

We show that coexisting domains of coherent and incoherent oscillations can be induced in an ensemble of any identical nonlinear dynamical systems using nonlocal rotational matrix coupling with an asymmetry parameter. Further, a chimera is shown to emerge in a wide range of the asymmetry parameter in contrast to near pi/2 values of it employed in earlier works. We have also corroborated our results using the strength of incoherence in the frequency domain (S-omega) and in the amplitude domain (S), thereby distinguishing the frequency and amplitude chimeras. The robust nature of the asymmetry parameter in inducing chimeras in any generic dynamical system is established using ensembles of identical Rossler oscillators, Lorenz systems, and Hindmarsh-Rose neurons in their chaotic regimes.