Incoherence-Mediated Remote Synchronization
arXiv:1703.10621 · doi:10.1103/PhysRevLett.118.174102
Abstract
In previously identified forms of remote synchronization between two nodes, the intermediate portion of the network connecting the two nodes is not synchronized with them but generally exhibits some coherent dynamics. Here we report on a network phenomenon we call incoherence-mediated remote synchronization (IMRS), in which two non-contiguous parts of the network are identically synchronized while the dynamics of the intermediate part is statistically and information-theoretically incoherent. We identify mirror symmetry in the network structure as a mechanism allowing for such behavior, and show that IMRS is robust against dynamical noise as well as against parameter changes. IMRS may underlie neuronal information processing and potentially lead to network solutions for encryption key distribution and secure communication.
5 pages, 4 figures, Supplemental Material (7 pages, 9 figures); missing links added to the network in Fig. 2(a)
References in corpus (5)
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
- Zero-lag long-range synchronization via dynamical relaying
- Remote synchronization reveals network symmetries and functional modules
- Network synchronization of groups
Cited by in corpus (18)
- Delay controls chimera relay synchronization in multiplex networks
- Weak multiplexing in neural networks: Switching between chimera and solitary states
- Control of coherence resonance by self-induced stochastic resonance in a multiplex neural network
- Does the brain behave like a (complex) network? I. Dynamics
- Effect of Topology upon Relay Synchronization in Triplex Neuronal Networks
- Relay synchronization in multiplex networks of discrete maps
- Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
- Identifying symmetries and predicting cluster synchronization in complex networks
- Critical Switching in Globally Attractive Chimeras
- Network experiment demonstrates converse symmetry breaking
- Antagonistic Phenomena in Network Dynamics
- Apparent remote synchronization of amplitudes: a demodulation and interference effect
- Mediated Remote Synchronization of Kuramoto-Sakaguchi Oscillators: the Number of Mediators Matters
- Reactive random walkers on complex networks
- Synchronization scenarios in three-layer networks with a hub
- Multifaceted dynamics of Janus oscillator networks
- Impact of intra and inter-cluster coupling balance on the performance of nonlinear networked systems
- Influence of sound on empirical brain networks