Impact of local dynamics on chimera patterns
Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, 713 104, Burdwan, West Bengal, India
Accepted: 20 July 2022
Published online: 1 August 2022
We study the impact of local dynamics on the appearance of chimera patterns in coupled oscillators. For this, we introduce a control parameter that explicitly changes the local dynamics from a van der Pol (vdP) to a hybrid oscillator. It is well established that in vdP oscillators only amplitude-mediated chimeras occur; however, remarkably, we show that as we go from vdP to hybrid oscillator, both amplitude-mediated chimeras and amplitude chimeras appear in the network. Moreover, for a wide range of control parameter, we have identified stable amplitude chimeras induced by the interplay of the control parameter and coupling strength. Through Floquet theory and numerical measures, we provide support for our findings. Apart from the impact of local dynamics, for the first time, our study demonstrates the appearance of chimeras in hybrid oscillators, which are widely used to model robotic limb movement and pedestrian dynamics.
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