Self-organized and driven phase synchronization in coupled maps
arXiv:nlin/0210006 · doi:10.1103/PhysRevLett.90.014101
Abstract
We study the phase synchronization and cluster formation in coupled maps on different networks. We identify two different mechanisms of cluster formation; (a) {\it Self-organized} phase synchronization which leads to clusters with dominant intra-cluster couplings and (b) {\it driven} phase synchronization which leads to clusters with dominant inter-cluster couplings. In the novel driven synchronization the nodes of one cluster are driven by those of the others. We also discuss the dynamical origin of these two mechanisms for small networks with two and three nodes.
4 pages including 2 figures
References in corpus (3)
Cited by in corpus (44)
- Synchronization in complex networks
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Universality in the synchronization of weighted random networks
- Cluster synchronization in networks of coupled non-identical dynamical systems
- The synchronized dynamics of time-varying networks
- Modular synchronization in complex networks
- Clustering and Synchronization of Oscillator Networks
- Birth and Death of Chimera: Interplay of Delay and Multiplexing
- Synchronized clusters in coupled map networks: Self-organized and driven phase synchronization
- Partial Synchronization on Complex Networks
- Bounding network spectra for network design
- Impact of leader on cluster synchronization
- Dynamic behaviors in directed networks
- Synchronization in Delayed Multiplex Networks
- Role of delay in the mechanism of cluster formation
- Symbolic Synchronization and the Detection of Global Properties of Coupled Dynamics from Local Information
- Evolution equation for a model of surface relaxation in complex networks
- Conservative model for synchronization problems in complex networks
- Sync in Complex Dynamical Networks: Stability, Evolution, Control, and Application
- Impact of heterogeneous delays on cluster synchronization
- Synchronization in Scale Free networks with degree correlation
- Interplay of Delay and multiplexing: Impact on Cluster Synchronization
- Coupled Dynamics on Networks
- Predictable nonwandering localization of covariant Lyapunov vectors and cluster synchronization in scale-free networks of chaotic maps
- Stretched exponential dynamics of coupled logistic maps on a small-world network
- Variety of regimes of star-like networks of Henon maps
- Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators
- Decoupled synchronized states in networks of linearly coupled limit cycle oscillators
- Chaotic Griffiths Phase with Anomalous Lyapunov Spectra in Coupled Map Networks
- Phase separation in coupled chaotic maps on fractal networks
- Evaluating the phase dynamics of coupled oscillators via time-variant topological features
- Competition between surface relaxation and ballistic deposition models in scale free networks
- Heterogeneous delays making parents synchronized: A coupled maps on Cayley tree model
- Transition from the self-organized to the driven dynamical clusters
- A mechanism to synchronize fluctuations in scale free networks using growth models
- Delay-induced driven patterns in coupled Cayley tree networks
- Partial synchronization and community switching in phase-oscillator networks and its analysis based on a bidirectional, weighted chain of three oscillators
- Evolution of correlated multiplexity through stability maximization
- Ising Model on Edge-Dual of Random Networks
- Spectral properties and pattern selection in fractal growth networks
- Synchronization of Coupled Chaotic Dynamics on Networks
- Awaking and Sleeping a Complex Network
- Phase ordering induced by defects in chaotic bistable media
- Collective behavior in coupled dynamical systems on two-dimensional weighted networks: A step toward understanding adaptive behavior of true slime mold