Robustness of Optimal Synchronization in Real Networks
arXiv:1106.3994 · doi:10.1103/PhysRevLett.107.034102
Abstract
Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection topology on synchronization in fiber-optic networks of chaotic optoelectronic oscillators. We find that the recently predicted non-monotonic, cusp-like synchronization landscape manifests itself in the rate of convergence to the synchronous state. We also observe that networks with the same number of nodes, same number of links, and identical eigenvalues of the coupling matrix can exhibit fundamentally different approaches to synchronization. This previously unnoticed difference is determined by the degeneracy of associated eigenvectors in the presence of noise and mismatches encountered in real-world conditions.
References in corpus (12)
- Epidemic spreading in scale-free networks
- Synchronization in complex networks
- Critical phenomena in complex networks
- Synchronization is optimal in non-diagonalizable networks
- Master Stability Functions for Coupled Near-Identical Dynamical Systems
- Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions
- Maximum Performance at Minimum Cost in Network Synchronization
- Predicting synthetic rescues in metabolic networks
- Complex Dynamics and Synchronization of Delayed-Feedback Nonlinear Oscillators
- Collective dynamical response of coupled oscillators with any network structure
- Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics
- Spatial patterns of desynchronization bursts in networks
Cited by in corpus (29)
- Spontaneous synchrony in power-grid networks
- Causal Network Inference by Optimal Causation Entropy
- Causation Entropy Identifies Indirect Influences, Dominance of Neighbors and Anticipatory Couplings
- Tutorial: Photonic Neural Networks in Delay Systems
- Optimal synchronization of complex networks
- Experimental observation of chimera and cluster states in a minimal globally coupled network
- Experimental Observations of Group Synchrony in a System of Chaotic Optoelectronic Oscillators
- Controlling synchronization in large laser networks using number theory
- Delayed Dynamical Systems: Networks, Chimeras and Reservoir Computing
- Inference of Causal Information Flow in Collective Animal Behavior
- Topological resilience in non-normal networked systems
- Effects of degree-frequency correlations on network synchronization: universality and full phase-locking
- Chaos synchronization in networks of delay-coupled lasers: Role of the coupling phases
- Optimal synchronization of directed complex networks
- Machine Learning Link Inference of Noisy Delay-coupled Networks with Opto-Electronic Experimental Tests
- Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling
- Sensitive Dependence of Optimal Network Dynamics on Network Structure
- Master Stability Islands for Amplitude Death in Networks of Delay-Coupled Oscillators
- Synchronization with mismatched synaptic delays: A unique role of elastic neuronal latency
- Non-normality and non-monotonic dynamics in complex reaction networks
- Phase-shift inversion in oscillator systems with periodically switching couplings
- Stationary patterns in star networks of bistable units: Theory and application to chemical reactions
- Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators
- Time delayed laser networks: phase versus chaos synchronization
- Estimating the master stability function from the time series of one oscillator via reservoir computing
- The Essential Synchronization Backbone Problem
- Hierarchical route to the emergence of leader nodes in real-world networks
- Comment on "Synchronization dynamics in non-normal networks: the trade-off for optimality"
- Evolutionary design of non-frustrated networks of phase-repulsive oscillators