Calculation of travelling chimera speeds for dynamical systems with ring topologies

Travelling chimera states are a dynamical regime in homogeneous networks where coherent and incoherent domains coexist and the latter moves across the network with time. For such travelling chimeras we can define its speed as a number of elements by which an incoherent domain is shifted per unit time. In this paper, we propose a new approach to calculate the speed of such traveling chimeras. We validate our method by computing the travelling chimera speed in a ring of type-II Morris-Lecar neurons with asymmetrical nonlocal inhibitory connectivity. The main advantage of our approach is that all computations of the speed can be done automatically, opening new opportunities for large-scale scanning and analysis of parametric regions in dynamic systems.