Synchronization of two interacting populations of oscillators

Abstract

We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled populations of identical oscillators (Okuda and Kuramoto, 1991). It includes three types of bistabilities, higher order entrainment and the existence of states with unusual stability properties. All possible routes to synchronization of the populations are presented and some stability boundaries are obtained analytically.

4 pages, 4 figures

References in corpus (3)

• Amplitude Expansions for Instabilities in Populations of Globally-Coupled Oscillators
• Averaged equations for Josephson junction series arrays with LRC load
• Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators

Cited by in corpus (90)

• Nonlinear multivariate analysis of Neurophysiological Signals
• The Kuramoto model in complex networks
• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Chimera States in Mechanical Oscillator Networks
• Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
• Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
• Chimera states in heterogeneous networks
• Cluster synchronization in networks of coupled non-identical dynamical systems
• Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
• Network synchronization of groups
• Solitary state at the edge of synchrony in ensembles with attractive and repulsive interaction
• Collective chaos in pulse-coupled neural networks
• Cluster consensus in discrete-time networks of multi-agents with inter-cluster nonidentical inputs
• Low-dimensional dynamics of populations of pulse-coupled oscillators
• Chimeras in networks of planar oscillators
• Chimera states in time-varying complex networks
• Localized coherence in two interacting populations of social agents
• Chimera states in networks of phase oscillators: the case of two small populations
• Collective Phase Sensitivity
• Intermittent chaotic chimeras for coupled rotators
• Symmetries, Stability, and Control in Nonlinear Systems and Networks
• Basins of Attraction for Chimera States
• Existence of hysteresis in the Kuramoto model with bimodal frequency distributions
• The Kuramoto Model with Time-Varying Parameters
• Hierarchical Synchrony of Phase Oscillators in Modular Networks
• Neuronal synchrony during anaesthesia - A thalamocortical model
• Chimera states in coupled Kuramoto oscillators with inertia
• Chimera states in two populations with heterogeneous phase-lag
• Heterogeneity of time delays determines synchronization of coupled oscillators
• Connecting the Kuramoto Model and the Chimera State
• Collective dynamical response of coupled oscillators with any network structure
• Time delay in the Kuramoto model with bimodal frequency distribution
• Mean Field and Mean Ensemble Frequencies of a System of Coupled Oscillators
• Kuramoto model for excitation-inhibition-based oscillations
• The changing notion of chimera states, a critical review
• Introduction to Focus Issue: Patterns of Network Synchronization
• Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless non-identical case
• Resonance Clustering in Globally Coupled Electrochemical Oscillators with External Forcing
• Collective phase description of globally coupled excitable elements
• Solitary States and Partial Synchrony in Oscillatory Ensembles with Attractive and Repulsive Interactions
• Complexity Reduction Ansatz for Systems of Interacting Orientable Agents: Beyond The Kuramoto Model
• Phase synchronization between collective rhythms of globally coupled oscillator groups: noisy identical case
• Collective phase dynamics of globally coupled oscillators: Noise-induced anti-phase synchronization
• Asymmetry--induced effects in coupled phase oscillator ensembles: Routes to synchronization
• Stable amplitude chimera states in a network of locally coupled Stuart-Landau oscillators
• Effects of non-resonant interaction in ensembles of phase oscillators
• Fixed points and stability in the two-network frustrated Kuramoto model
• The mathematics of asymptotic stability in the Kuramoto model
• Imperfect synchronized states and chimera states in two interacting populations of nonlocally coupled Stuart-Landau oscillators
• Interacting universes and the cosmological constant
• Chimera states in small disordered optomechanical arrays
• Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
• Routes to synchrony between asymmetrically interacting oscillator ensembles
• Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks
• Dynamical robustness of network of oscillators
• Coupled networks and networks with bimodal frequency distributions are equivalent
• The Kuramoto model with distributed shear
• Gaussian noise and the two-network frustrated Kuramoto model
• Directed Flow of Information in Chimera States
• Macroscopic quantum synchronization effects
• Mediated Remote Synchronization of Kuramoto-Sakaguchi Oscillators: the Number of Mediators Matters
• Mean field approximation of two coupled populations of excitable units
• Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators
• Chimera-like states in two distinct groups of identical populations of coupled Stuart-Landau oscillators
• Phase synchronization between collective rhythms of fully locked oscillator groups
• Attracting Poisson Chimeras in Two-population Networks
• Dynamics of two populations of phase oscillators with different frequency distributions
• Adversarial decision strategies in multiple network phased oscillators: the Blue-Green-Red Kuramoto-Sakaguchi model
• Chimera states for a globally coupled sine circle map lattice: spatiotemporal intermittency and hyperchaos
• Stability of Remote Synchronization in Star Networks of Kuramoto Oscillators
• Identification of single- and double-well coherence-incoherence patterns by the binary distance matrix
• Amplitude Mediated Chimera States with Active and Inactive Oscillators
• Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations
• Chimera states and information transfer in interacting populations of map-based neurons
• Heteroclinic Switching between Chimeras in a Ring of Six Oscillator Populations
• Chimera Dynamics of Generalized Kuramoto-Sakaguchi Oscillators in Two-population Networks
• Chaotic Chimera Attractors in a Triangular Network of Identical Oscillators
• Clusterization and phase diagram of the bimodal Kuramoto model with bounded confidence
• Complexity and irreducibility of dynamics on networks of networks
• A Two-Frequency-Two-Coupling model of coupled oscillators
• Two-community noisy Kuramoto model with general interaction strengths: Part I
• Competitive Suppression of Synchronization and Non-Monotonic Transitions in Oscillator Communities with Distributed Time Delay
• Sparse optimization of mutual synchronization in collectively oscillating networks
• Two network Kuramoto-Sakaguchi model under tempered stable Lévy noise
• Partial synchronization and community switching in phase-oscillator networks and its analysis based on a bidirectional, weighted chain of three oscillators
• Chimeras with uniformly distributed heterogeneity: two coupled populations
• Disorder-promoted stability
• Synchronization modes in bipartite oscillator networks
• Metastability of multi-population Kuramoto-Sakaguchi oscillators