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.
Final proof correction incorporated; 11 pages, 6 figures, 2 tables, Supplemental Material (3 pages, 1 figure, 2 tables)
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Cited by in corpus (5)
- 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
- Resilience in multiplex networks by addition of cross-repulsive links
- Concurrent formation of nearly synchronous clusters in each intertwined cluster set with parameter mismatches