Geometric framework for phase synchronization in coupled noisy nonlinear systems.

Phase Tuning in Synchronization of Nonlinear Master-slave Oscillating Systems Using Decomposition Method

Detecting phase synchronization in noisy data from coupled chaotic oscillators.

Two schemes are proposed to detect phase synchronization from chaotic data contaminated by noise. The first is a neighborhood-based method which links time delay embedding with instantaneous phase estimation. The second adopts the local projection method as a preprocessing filter to noisy data. Both schemes utilize the state recurrence, an important feature of chaotic data. The proposed schemes...

Detecting and characterizing phase synchronization in nonstationary dynamical systems.

We propose a general framework for detecting and characterizing phase synchronization from noisy, nonstationary time series. For detection, we propose to use the average phase-synchronization time and show that it is extremely sensitive to parameter changes near the onset of phase synchronization. To characterize the degree of temporal phase synchronization, we suggest to monitor the evolution ...

Predicting 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 ...

Noise induced forced synchronization of global variables in coupled bistable systems

We analyze the noise induced synchronization between a collective variable characterizing a complex system with a finite number of interacting bistable units and time periodic driving forces. A random phase process associated to the collective stochastic variable is defined. Its average phase frequency and average phase diffusion are used to characterize the phenomenon. Our analysis is based on...