Noise-Induced Synchronization, Desynchronization, and Clustering in Globally Coupled Nonidentical Oscillators

Abstract

We study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synchronize or desychronize a system. By introducing noise in various ways, we find a novel estimate for the onset of synchrony of a system in terms of the coupling strength, noise strength, and width of the frequency distribution of its natural oscillations. We also demonstrate that noise alone is sufficient to synchronize nonidentical oscillators. However, this synchrony depends on the first Fourier mode of a phase-sensitivity function, through which we introduce common noise into the system. We show that higher Fourier modes can cause desychronization due to clustering effects, and that this can reinforce clustering caused by different forms of coupling. Finally, we discuss the effects of noise on an ensemble in which antiferromagnetic coupling causes oscillators to form two clusters in the absence of noise.

7 pages, 5 figures (some with multiple parts)

References in corpus (7)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
• Experimental Observations of Group Synchrony in a System of Chaotic Optoelectronic Oscillators
• Phase reduction of stochastic limit cycle oscillators
• Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling
• Noise-Induced Synchronization of a Large Population of Globally Coupled Nonidentical Oscillators
• Colored noise induces synchronization of limit cycle oscillators

Cited by in corpus (21)

• Mathematical frameworks for oscillatory network dynamics in neuroscience
• Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
• Dynamical Systems on Networks: A Tutorial
• Disorder induces explosive synchronization
• Modular architecture facilitates noise-driven control of synchrony in neuronal networks
• Low-dimensional behavior of Kuramoto model with inertia in complex networks
• Analysis of cluster explosive synchronization in complex networks
• Repulsively Coupled Kuramoto-Sakaguchi Phase Oscillators Ensemble Subject to Common Noise
• Noise-induced synchronization and anti-resonance in excitable systems; Implications for information processing in Parkinson's Disease and Deep Brain Stimulation
• Erosion of synchronization: Coupling heterogeneity and network structure
• Critical behavior of noise-induced phase synchronization
• Thermodynamics aspects of noise-induced phase synchronization
• On the dynamics of traveling phase-oscillators with positive and negative couplings
• Necessary and Sufficient Conditions for Stable Synchronisation in Random Dynamical Systems
• Design and control of noise-induced synchronization patterns
• Coexistence of asynchronous and clustered dynamics in noisy inhibitory neural networks
• Traveling Speed of Clusters in the Kuramoto-Sakaguchi Model
• Adversarial control of synchronization in complex oscillator networks
• Steady State Statistics of Emergent Patterns in a Ring of Oscillators
• Phase transformation and synchrony for a network of coupled Izhikevich neurons
• Heterogeneous, Weakly Coupled Map Lattices