Explosive synchronization and chimera in interpinned multilayer networks
arXiv:2106.02912 · doi:10.1103/PhysRevE.104.L042301
Abstract
This Letter investigates the nature of synchronization in multilayered and multiplexed populations in which the interlayer interactions are randomly pinned. First, we show that a multilayer network constructed by setting up all-to-all interlayer connections between the two populations leads to explosive synchronization in the two populations successively, leading to the coexistence of coherent and incoherent populations forming chimera states. Second, a multiplex formation of the two populations in which only the mirror nodes are interconnected espouses explosive transitions in the two populations concurrently. The occurrence of both explosive synchronization and chimera are substantiated with rigorous theoretical mean-field analysis. The random pinning in the interlayer interactions concerns the practical problems where the impact of dynamics of one network on that of other interconnected networks remains elusive, as is the case for many real-world systems.
arXiv comment6 pages, 6 figures
References in corpus (18)
- Emergence of scaling in random networks
- The structure and dynamics of multilayer networks
- Chimera States for Coupled Oscillators
- Explosive Synchronization Transitions in Scale-free Networks
- Solvable model for chimera states of coupled oscillators
- Explosive synchronization in adaptive and multilayer networks
- Explosive first-order transition to synchrony in networked chaotic oscillators
- Dynamic interdependence and competition in multilayer networks
- Collective phenomena emerging from the interactions between dynamical processes in multiplex networks
- Optimal percolation on multiplex networks
- A Universal Route to Explosive Phenomena
- Birth and stabilization of phase clusters by multiplexing of adaptive networks
- Emergent explosive synchronization in adaptive complex networks
- Delay Regulated Explosive Synchronization in Multiplex Networks
- Control of Synchronization in two-layer power grids
- A model bridging chimera state and explosive synchronization
- Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks
- The Kuramoto model in presence of additional interactions that break rotational symmetry
Cited by in corpus (5)
- Generalized frustration in the multidimensional Kuramoto model
- Additional complex conjugate feedback induced explosive death and multistabilities
- Explosive synchronization in coupled nonlinear oscillators on multiplex network
- Broadcasting solutions on networked systems of phase oscillators
- Explosive synchronization in networks of Type-I neurons with electrical synapses