Hierarchy and Polysynchrony in an adaptive network
arXiv:1403.3209 · doi:10.1103/PhysRevE.89.062809
Abstract
We describe a simple adaptive network of coupled chaotic maps. The network reaches a stationary state (frozen topology) for all values of the coupling parameter, although the dynamics of the maps at the nodes of the network can be non-trivial. The structure of the network shows interesting hierarchical properties and in certain parameter regions the dynamics is polysynchronous: nodes can be divided in differently synchronized classes but contrary to cluster synchronization, nodes in the same class need not be connected to each other. These complicated synchrony patterns have been conjectured to play roles in systems biology and circuits. The adaptive system we study describes ways whereby this behaviour can evolve from undifferentiated nodes.
13 pages, 17 figures
References in corpus (14)
- Epidemic dynamics on an adaptive network
- Adaptive Coevolutionary Networks: A Review
- Consensus formation on adaptive networks
- Who's talking first? Consensus or lack thereof in coevolving opinion formation models
- Adaptive self-organization in a realistic neural network model
- Enhanced vaccine control of epidemics in adaptive networks
- Spontaneous structure formation in a network of chaotic units with variable connection strengths
- Robust oscillations in SIS epidemics on adaptive networks: Coarse-graining by automated moment closure
- Synchronization of unidirectional time delay chaotic networks and the greatest common divisor
- Pattern Dynamics of a Coupled Map Lattice for Open Flow
- Sublattice synchronization of chaotic networks with delayed couplings
- Patterns of Chaos Synchronization
- Spontaneous Formation of Dynamical Groups in an Adaptive Networked System
- Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems