Explosive death - a discontinuous, first-order transition from oscillatory dynamics to a steady state - is investigated in a framework of interacting networks under mixed coupling. Unlike previous studies focused on monolayer topologies, this work explores the interplay between local diffusive coupling among peripheral nodes and their respective hubs, and conjugate (dissimilar variable) interactions between the hubs of different layers. We demonstrate that by tuning the intralayer and interlayer coupling strengths, the system exhibits a sudden collapse of oscillations into a steady state. The generality of this explosive transition is verified across a diverse range of dynamical systems, including the Stuart-Landau limit cycle oscillator, and the Hindmarsh-Rose bursting neuron model with star and scale-free networks. Our results suggest that the combination of star-type or scale-free network connectivity and mismatch in coupling variables provides a robust mechanism for inducing abrupt transitions to quenching in multilayered nonlinear systems within the explored parameter space.
Ranjib Banerjee, Dibakar Ghosh, Amit Sharma· Europhysics letters· 0 citations
Understanding how cooperation persists despite the advantage of selfish behavior remains a central challenge in evolutionary dynamics. Classical models of public goods dilemmas predict dominance of defectors, yet natural and social systems often sustain cooperation. We study an eco-evolutionary public goods game on complex networks where cooperators and defectors diffuse at different rates. When the isolated system is in a defector-dominated coexistence regime, faster dispersal of defectors than cooperators leads to a symmetry-breaking transition that produces localized clusters of cooperators. In heterogeneous networks, nodes with higher connectivity become significantly more likely to exhibit cooperative dominance. A degree-based mean-field reduction supports this result by showing that network connectivity controls an effective coupling strength proportional to node degree, thereby producing a bifurcation that separates defector-dominated and cooperative states. We also address why not all hubs become cooperative by means of a multistability analysis. These results reveal how asymmetric mobility and heterogeneous connectivity jointly promote cooperation in structured populations.
Sourav Roy, M. S. Anwar, Timoteo Carletti et al.· Proceedings of the National...· 0 citations