Synchronization of coupled stochastic limit cycle oscillators
نویسنده
چکیده
Article history: Received 6 November 2009 Received in revised form 14 February 2010 Accepted 15 February 2010 Available online 19 February 2010 Communicated by C.R. Doering
منابع مشابه
Synchronization of pulse-coupled oscillators to a global pacemaker
Pulse-coupled oscillators (PCOs) are limit cycle oscillators coupled by exchanging pulses at discrete time instants. Their importance in biology and engineering has motivated numerous studies aiming to understand the basic synchronization properties of a network of PCOs. In this work, we study synchronization of PCOs subject to a global pacemaker (or global cue) and local interactions between s...
متن کاملSynchronization of two non-scalar-coupled limit-cycle oscillators
Being one of the fundamental phenomena in nonlinear science, synchronization of oscillations has permanently remained an object of intensive research. Development of many asymptotic methods and numerical simulations has allowed an understanding and explanation of various phenomena of self-synchronization. But even in the classical case of coupled van der Pol oscillators a full description of al...
متن کاملStochastic synchronization of neuronal populations with intrinsic and extrinsic noise
We extend the theory of noise-induced phase synchronization to the case of a neural master equation describing the stochastic dynamics of an ensemble of uncoupled neuronal population oscillators with intrinsic and extrinsic noise. The master equation formulation of stochastic neurodynamics represents the state of each population by the number of currently active neurons, and the state transitio...
متن کاملNoise-induced synchronization of a large population of globally coupled nonidentical oscillators.
We study a large population of globally coupled phase oscillators subject to common white Gaussian noise and find analytically that the critical coupling strength between oscillators for synchronization transition decreases with an increase in the intensity of common noise. Thus, common noise promotes the onset of synchronization. Our prediction is confirmed by numerical simulations of the phas...
متن کاملPredicting phase synchronization of non–phase-coherent chaos
A new approach is presented for the reconstruction of phase synchronization phenomena from measurement data of two coupled chaotic oscillators. The oscillators are assumed to be non–phase-coherent, making the synchronization analysis extremely difficult. To deal with such non–phase-coherent systems, a CPR index has been recently developed based on the idea of recurrence plot. The present study ...
متن کامل