Desynchronization induced by time-varying network

Abstract

The synchronous dynamics of an array of excitable oscillators, coupled via a generic graph, is studied. Non homogeneous perturbations can grow and destroy synchrony, via a self-consistent instability which is solely instigated by the intrinsic network dynamics. By acting on the characteristic time-scale of the network modulation, one can make the examined system to behave as its (partially) averaged analog. This result if formally obtained by proving an extended version of the averaging theorem, which allows for partial averages to be carried out. As a byproduct of the analysis, oscillation death are reported to follow the onset of the network driven instability.

To appear in Europhys. Lett

References in corpus (9)

• Synchronization in complex networks
• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Turing patterns in network-organized activator-inhibitor systems
• Topology-driven instabilities: the theory of pattern formation on directed networks
• Turing patterns in multiplex networks
• The theory of Turing patterns on time varying networks
• Ott-Antonsen attractiveness for parameter-dependent oscillatory networks
• Environmental coupling in ecosystems: From oscillation quenching to rhythmogenesis
• Stabilisation of dynamics of oscillatory systems by non-autonomous perturbation

Cited by in corpus (11)

• Synchronization in temporal simplicial complexes
• Turing patterns on discrete topologies: from networks to higher-order structures
• Nonautonomous driving induces stability in network of identical oscillators
• Generalized patterns from local and non local reactions
• Pattern invariance for reaction-diffusion systems on complex networks
• Non-reciprocal interactions enhance heterogeneity
• Classes of random walks on temporal networks with competing timescales
• Characterization of interactions' persistence in time-varying networks
• Stabilizing Stuart-Landau oscillators via time-varying networks
• Pattern reconstruction through generalized eigenvectors on defective networks
• Theory of synchronisation and pattern formation on time varying networks