The analysis of phase coherence of an ensemble of uncoupled limit-cycle oscillators via averaging of a jump-diffusion Kolmogorov equation
نویسندگان
چکیده
Identical uncoupled limit-cycle oscillators receiving common noise show various patterns of coherence, including complete desynchronization, phase clustering, and phase synchronization. We extend the averaging method employed earlier to analyze the global coherence properties of limit-cycle oscillators receiving weak Gaussian white-noise [1] to the case where the common noise is compound random Poisson impulses.
منابع مشابه
2 6 Fe b 20 08 Phase coherence in an ensemble of uncoupled limit - cycle oscillators receiving common Poisson impulses
An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be predicted from the phase response of a single oscillator to a given impulsive perturbation. We present a theory based on phase reduction of a jump stochastic process...
متن کاملPhase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses.
An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of nontrivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be predicted from the phase response of a single oscillator to a given impulsive perturbation. We present a theory based on phase reduction of a jump stochastic process ...
متن کاملAveraging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses.
Populations of uncoupled limit-cycle oscillators receiving common random impulses show various types of phase-coherent states, which are characterized by the distribution of phase differences between pairs of oscillators. We develop a theory to predict the stationary distribution of pairwise phase differences from the phase response curve, which quantitatively encapsulates the oscillator dynami...
متن کاملNoise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators.
We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the phase difference between oscillators for weak noise intensity. We demonstrate that in addition to synchronization, clustering, or more generally coherence, a...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008