Phase-response analysis of synchronization for periodic flows
نویسندگان
چکیده
We apply the phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the phase dynamics reducing the high-dimensional fluid flow to its single scalar phase variable. We characterize the phase response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from the phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on unsteady cylinder wake. The condition for synchronization is identified and agrees closely with results from direct numerical simulations. Moreover, the analysis reveals the optimal forcing direction for synchronization. The phase-response analysis holds potential to uncover lock-on characteristics for a range of periodic flows.
منابع مشابه
A geometric theory of chaotic phase synchronization.
A rigorous mathematical treatment of chaotic phase synchronization is still lacking, although it has been observed in many numerical and experimental studies. In this article we address the extension of results on phase synchronization in periodic oscillators to systems with phase coherent chaotic attractors with small phase diffusion. As models of such systems we consider special flows over di...
متن کاملMeasurement of Periodic Flow Using Micro Particle Im- Age Velocimetry with Phase Sampling Technique
ABSTRACT This paper reports a new method for measurement of periodic flows with phase-sampling technique by using conventional micro particle image velocimetry (PIV). Non-integer multiples for the laser pulse frequency and the frequency of the periodic flow are chosen such that each velocimetry data set represents a unique point in phase for the periodic flow. The method we proposed does not re...
متن کاملPeriodically correlated and multivariate symmetric stable processes related to periodic and cyclic flows
In this work we introduce and study discrete time periodically correlated stable processes and multivariate stationary stable processes related to periodic and cyclic flows. Our study involves producing a spectral representation and a spectral identification for such processes. We show that the third component of a periodically correlated stable process has a component related to a...
متن کاملSynchronization of the neural response to noisy periodic synaptic input
The timing information contained in the response of a neuron to noisy periodic synaptic input is analyzed for the leaky integrate-and-fire neural model. We address the question of the relationship between the timing of the synaptic inputs and the output spikes. This requires an analysis of the interspike interval distribution of the output spikes, which is obtained in the gaussian approximation...
متن کاملInvestigation of the Effect of Synchronization Techniques on the Stability of Grid-Connected Photovoltaic Systems
Abstract: Due to the increasing use of microgrids, investigation of their stability is of special interest. One of the disadvantages of an inverter-based distribution unit is that at any given time, phase and frequency information at the point of common coupling (PCC) is required that affected the stability. The synchronization techniques include synchronous reference frame phase-locked loop (S...
متن کامل