Complex macroscopic behavior in systems of phase oscillators with adaptive coupling
arXiv:1207.3102 · doi:10.1016/j.physd.2013.01.012
Abstract
Using recent dimensionality reduction techniques in large systems of coupled phase oscillators exhibiting bistability, we analyze complex macroscopic behavior arising when the coupling between oscillators is allowed to evolve slowly as a function of either macroscopic or local system properties. For example, we observe macroscopic excitability and intermittent synchrony in a system of time-delayed Kuramoto oscillators with Hebbian and anti-Hebbian learning. We demonstrate the robustness of our findings by considering systems with increasing complexity, including time-delayed oscillators with adaptive network structure and community interaction, as well as a system with bimodally distributed frequencies.
References in corpus (18)
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Explosive Synchronization Transitions in Scale-free Networks
- Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
- Partially integrable dynamics of hierarchical populations of coupled oscillators
- Chimera states in heterogeneous networks
- Stability diagram for the forced Kuramoto model
- Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
- Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling
- External Periodic Driving of Large Systems of Globally Coupled Phase Oscillators
- Neural Dynamics in Parkinsonian Brain:The Boundary Between Synchronized and Nonsynchronized Dynamics
- Noise-Induced Synchronization of a Large Population of Globally Coupled Nonidentical Oscillators
- Invariant submanifold for series arrays of Josephson junctions
- Hierarchical Synchrony of Phase Oscillators in Modular Networks
- Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless non-identical case
- Generating macroscopic chaos in a network of globally coupled phase oscillators
- Low Dimensional Description of Pedestrian-Induced Oscillation of the Millennium Bridge
- Intermittent synchronization in a network of bursting neurons
- Spontaneous Formation of Dynamical Groups in an Adaptive Networked System
Cited by in corpus (16)
- The Kuramoto model in complex networks
- What adaptive neuronal networks teach us about power grids
- Emergent explosive synchronization in adaptive complex networks
- Perspectives on adaptive dynamical systems
- Ott-Antonsen attractiveness for parameter-dependent oscillatory networks
- Heterogeneous nucleation in finite size adaptive dynamical networks
- Emergent excitability in adaptive networks of non-excitable units
- Amplification of explosive width in complex networks
- Tiered synchronization in coupled oscillator populations with interaction delays and higher-order interactions
- Stability Diagram, Hysteresis, and Critical Time Delay and Frequency for the Kuramoto Model with Heterogeneous Interaction Delays
- Synchronization of Coupled Kuramoto Oscillators under Resource Constraints
- Symmetry and symmetry breaking in coupled oscillator communities
- Collective excitability in highly diluted networks of rotators
- Type-III intermittency in emergent bursting dynamics of globally coupled rotators
- Collective canard explosions of globally-coupled rotators with adaptive coupling
- Path-dependent Dynamics Induced by Rewiring Networks of Inertial Oscillators