Dynamical systems with time-dependent coupling: Clustering and critical behaviour
arXiv:cond-mat/0403081 · doi:10.1016/j.physd.2004.03.002
Abstract
We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with autonomous dynamics. The system exhibits different dynamical regimes, with various forms of collective organization, controlled by the range of interactions and the dispersion of time scales in the evolution of the internal variables. In the limit of large interaction ranges, it reduces to an ensemble of coupled identical phase oscillators and, to some extent, admits to be treated analytically. We find and characterize a transition between ordered and disordered states, mediated by a regime of dynamical clustering.
to appear in Physica D
References in corpus (5)
- Plasticity and learning in a network of coupled phase oscillators
- Spontaneous structure formation in a network of chaotic units with variable connection strengths
- Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling
- Condensation in Globally Coupled Populations of Chaotic Dynamical Systems
- Coupled map gas: structure formation and dynamics of interacting motile elements with internal dynamics
Cited by in corpus (10)
- Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies
- The synchronized dynamics of time-varying networks
- Clustering and Synchronization of Oscillator Networks
- Swarm-Oscillators
- Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling
- Mobility induces global synchronization of oscillators in periodic extended systems
- Classes of random walks on temporal networks with competing timescales
- Gaslike model of social motility
- Directed percolation criticality due to Stochastic switching between Inhibitory and Excitatory Coupling in Coupled Circle maps
- Hamiltonian mean field model : effect of temporal perturbation in coupling matrix