Distance dependent competitive interactions in a frustrated network of mobile agents

Abstract

Diverse collective dynamics emerge in dynamical systems interacting on top of complex network architectures. Along this line of research, temporal network has come out to be one of the most promising network platforms to investigate. Especially, such network with spatially moving agents has been established to be capable of modelling a number of practical instances. In this paper, we examine the dynamical outcomes of moving agents interacting based upon their physical proximity. For this, we particularly emphasize on the impact of competing interactions among the agents depending on their physical distance. We specifically assume attractive coupling between agents which are staying apart from each other, whereas we adopt repulsive interaction for agents that are sufficiently close in space. With this set-up, we consider two types of coupling configurations, symmetry-breaking and symmetry-preserving couplings. We encounter variants of collective dynamics ranging from synchronization, inhomogeneous small oscillation to cluster state and extreme events while changing the attractive and repulsive coupling strengths. We have been able to map all these dynamical behaviors in the coupling parameter space. Complete synchronization being the most desired state in absence of repulsive coupling, we present an analytical study for this scenario that agrees well with the numerical results.

Perspective on attractive-repulsive interactions in dynamical networks: Progress and future

“…2 But, the agents of the social systems rarely remain isolated and the strategies of those agents generally change over time to avoid the undesired phase-locked state. Motivated by these facts, fresh ideas emerge among researchers and few time-varying networks [45,46] are contemplated with attractive-repulsive interactions, which manifest extreme events for an intermediate choice of coupling strengths. During the transition from synchronization to incoherent regime, those systems of mobile agents can give rise to extreme events through the route of onoff intermittency.…”

“…Along this line of research, a controlling appraoch is proposed in refs. [45,46]. But, a generic scheme to restrict such catastrophic events is yet to be found for such coupled systems with mixed interactions.…”