Asymmetry-Induced Synchronization in Oscillator Networks
arXiv:1705.07907 · doi:10.1103/PhysRevE.95.062215
Abstract
A scenario has recently been reported in which in order to stabilize complete synchronization of an oscillator network---a symmetric state---the symmetry of the system itself has to be broken by making the oscillators nonidentical. But how often does such behavior---which we term asymmetry-induced synchronization (AISync)---occur in oscillator networks? Here we present the first general scheme for constructing AISync systems and demonstrate that this behavior is the norm rather than the exception in a wide class of physical systems that can be seen as multilayer networks. Since a symmetric network in complete synchrony is the basic building block of cluster synchronization in more general networks, AISync should be common also in facilitating cluster synchronization by breaking the symmetry of the cluster subnetworks.
arXiv commentFinal proof correction incorporated; 11 pages, 6 figures, 2 tables, Supplemental Material (3 pages, 1 figure, 2 tables)
References in corpus (21)
- The structure and dynamics of multilayer networks
- Chimera States for Coupled Oscillators
- Diffusion dynamics on multiplex networks
- Mathematical Formulation of Multi-Layer Networks
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- The physics of spreading processes in multilayer networks
- Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks
- Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Explosive synchronization in adaptive and multilayer networks
- Entangled networks, synchronization, and optimal network topology
- Remote synchronization reveals network symmetries and functional modules
- Synchronization is optimal in non-diagonalizable networks
- Cluster and group synchronization in delay-coupled networks
- Master Stability Functions for Coupled Near-Identical Dynamical Systems
- Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions
- Synchronization in networks with multiple interaction layers
- Symmetric States Requiring System Asymmetry
- Breaking Synchrony by Heterogeneity in Complex Networks
- Spatial patterns of desynchronization bursts in networks
Cited by in corpus (16)
- Delay controls chimera relay synchronization in multiplex networks
- Topological Control of Synchronization Patterns: Trading Symmetry for Stability
- Random heterogeneity outperforms design in network synchronization
- Identical synchronization of nonidentical oscillators: when only birds of different feathers flock together
- Network experiment demonstrates converse symmetry breaking
- Individual heterogeneity generates explosive system network dynamics
- Optimal global synchronization of partially forced Kuramoto oscillators
- Emergent Microrobotic Oscillators via Asymmetry-Induced Order
- Synchronization scenarios in three-layer networks with a hub
- Symmetries and synchronization in multilayer random networks
- Multifaceted dynamics of Janus oscillator networks
- Resilience in multiplex networks by addition of cross-repulsive links
- Collective dynamics of random Janus oscillator networks
- Influence of sound on empirical brain networks
- Complexity and irreducibility of dynamics on networks of networks
- Concurrent formation of nearly synchronous clusters in each intertwined cluster set with parameter mismatches