Mobility-induced persistent chimera states

Abstract

We study the dynamics of mobile, locally coupled identical oscillators in the presence of coupling delays. We find different kinds of chimera states, in which coherent in-phase and anti-phase domains coexist with incoherent domains. These chimera states are dynamic and can persist for long times for intermediate mobility values. We discuss the mechanisms leading to the formation of these chimera states in different mobility regimes. This finding could be relevant for natural and technological systems composed of mobile communicating agents.

Synchronization dynamics of mobile oscillators in the presence of coupling delays

“…1(a)]. In the vicinity of these regions, persistent chimera states may form, where ordered and disordered domains coexist [45]. We exclude time-delay values within these regions to avoid the presence of persistent chimera states which affect synchronization dynamics, as has been shown elsewhere [45].…”

“…In the vicinity of these regions, persistent chimera states may form, where ordered and disordered domains coexist [45]. We exclude time-delay values within these regions to avoid the presence of persistent chimera states which affect synchronization dynamics, as has been shown elsewhere [45]. Furthermore, here we fix the value of κ = 0.1 and consider delay values within the first and second stable branches of solutions to avoid in-phase multistability [15,16].…”

“…(1) using the algorithm previously described in Ref. [45] with an Euler scheme and a time step δt 0.0001, and choose values of the time delay that are multiples of δt. To reveal synchronization dynamics of mobile oscillators with delayed coupling, we start simulations from random initial phases and examine how these oscillators reach inphase synchronization.…”

“…Coupling delays may significantly change synchronization dynamics of mobile oscillators. Persistent spatially heterogeneous phase patterns, termed chimera states, form near the stability boundaries of in-phase states in the presence of coupling delays and mobility [45]. Formation of such phase patterns slows down the convergence to in-phase states.…”

Chimera dynamics in nonlocally coupled moving phase oscillators

“…It has been shown that synchronization time may depend non-monotonically on the mobility of oscillators and the mechanism of driving synchronization are different for different dynamical regimes [43][44][45]. Chimera dynamics in mobile oscillators has not been investigated except for a recent work, in which an array of locally coupled oscillators exchange positions and the persistent chimera states may be maintained under the interplay between the mobility and time delay [46].…”