Abstract
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 values of it employed in earlier works. We have also corroborated our results using the strength of incoherence in the frequency domain and in the amplitude domain , 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 Rössler oscillators, Lorenz systems, and Hindmarsh-Rose neurons in their chaotic regimes.
3 More- Received 17 February 2015
- Revised 20 April 2015
DOI:https://doi.org/10.1103/PhysRevE.91.062916
©2015 American Physical Society