Desynchronization Transitions in Adaptive Networks

Adaptive networks change their connectivity with time, depending on dynamical state. While synchronization in structurally static has been studied extensively, this problem is much more challenging for adaptive networks. In Letter, we develop the master stability approach a large class of This allows reducing to low-dimensional system, by decoupling topological and properties. We show how interplay between adaptivity network structure gives rise formation islands. Moreover, report desynchronization transition emergence complex partial patterns induced an increasing overall coupling strength. illustrate our findings using coupled phase oscillators FitzHugh-Nagumo neurons synaptic plasticity.Received 24 August 2020Revised 4 November 2020Accepted 15 December 2020DOI:https://doi.org/10.1103/PhysRevLett.126.028301© 2021 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasClusteringCoupled oscillatorsDynamics networksSelf-organizationSynchronizationPhysical SystemsCollective dynamicsDynamical systemsTechniquesKuramoto modelNonlinear DynamicsNetworksBiological PhysicsGeneral Physics