Synchronization modes in bipartite oscillator networks

Abstract

Collective oscillations in neuronal systems often arise from interactions between excitatory and inhibitory populations rather than from recurrent coupling within a single ensemble. Motivated by the coexistence of strongly and partially synchronized regimes in such systems, we study the Kuramoto Sakaguchi model on a bipartite network. Despite its minimal structure, the model exhibits rich collective dynamics, including both continuous and discontinuous transitions from full synchrony to partial synchrony (PS). In the PS regime, global oscillations fail to entrain one of the two populations, whose oscillators display quasiperiodic dynamics with an average frequency that can significantly deviate from that of the global field, as observed in neuronal networks. We show that this PS state constitutes an example of self-organized quasiperiodicity, arising here in the canonical Kuramoto Sakaguchi model despite its purely linear global coupling.

References in corpus (17)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Solvable model for chimera states of coupled oscillators
• Non-reciprocal phase transitions
• Partially integrable dynamics of hierarchical populations of coupled oscillators
• Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
• Synchronization of two interacting populations of oscillators
• Chimera states in heterogeneous networks
• Phase reduction beyond the first order: the case of the mean-field complex Ginzburg-Landau equation
• Chimera states in networks of phase oscillators: the case of two small populations
• Chimera states in two populations with heterogeneous phase-lag
• Connecting the Kuramoto Model and the Chimera State
• Kuramoto model for excitation-inhibition-based oscillations
• The changing notion of chimera states, a critical review
• Bifurcations in the Kuramoto model on graphs
• Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
• Mediated Remote Synchronization of Kuramoto-Sakaguchi Oscillators: the Number of Mediators Matters