Birhythmicity, Synchronization, and Turbulence in an Oscillatory System with Nonlocal Inertial Coupling

Abstract

We consider a model where a population of diffusively coupled limit-cycle oscillators, described by the complex Ginzburg-Landau equation, interacts nonlocally via an inertial field. For sufficiently high intensity of nonlocal inertial coupling, the system exhibits birhythmicity with two oscillation modes at largely different frequencies. Stability of uniform oscillations in the birhythmic region is analyzed by means of the phase dynamics approximation. Numerical simulations show that, depending on its parameters, the system has irregular intermittent regimes with local bursts of synchronization or desynchronization.

21 pages, many figures. Paper accepted on Physica D

References in corpus (2)

• Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
• Self-organized stable pacemakers near the onset of birhythmicity

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• Noise Effects on birhythmic Josephson Junction coupled to a Resonator
• Dependence of the maximal superconducting current on resonance frequency in shunted Josephson junction
• Analysis of the Time Structure of Synchronization in Multidimensional Chaotic Systems