Dynamics Of Phase Difference Research Articles

Theory of stochastic bifurcation in BWRs and applications

We have found that noise destroys the Hopf bifurcation in BWR so that the Lyapunov exponent takes negative values in any case near the onset of power oscillation. Consequently, the values of decay ratio (DR) always take a value less than 1. Theoretical prediction based on the theory of stochastic bifurcation is verified with the use of practical time series data. A new method of the stochastic dynamics of phase-difference is also proposed, and its powerfulness is demonstrated.

Statistics of interacting optical solitons.

We examine statistics of two interacting optical solitons and describe timing jitter caused by spontaneous emission noise and enhanced by pulse interaction. Dynamics of phase difference is shown to be of crucial importance in determining the probability distribution function (PDF) of the distance between solitons. We find analytically the non-Gaussian tail of the PDF to be exponential. The propagation distance that corresponds to a given bit-error rate is described as a function of system parameters (filtering and noise level), initial distance, and initial phase difference between solitons. We find the interval of parameters where a larger propagation distance can be achieved for higher density of information.

Phase synchronization of switchings in stochastic and chaotic bistable systems

We study synchronization of switching processes in stochastic and chaotic bistable systems driven by a periodic signal in terms of phase synchronization. By introduction of instantaneous phases of transitions between metastable states and of the periodic forcing we show explicitly the effect of phase locking. The dynamics of phase difference appears to be qualitatively equivalent to that of a synchronized classical self-sustained oscillator. We have found that the degree of phase coherence between the input signal and the response estimated employing the effective diffusion constant is maximal at an optimal noise level in a stochastic bistable system or at an optimal value of a control parameter in a purely deterministic case. We also consider the effect of mutual synchronization of the switching processes in coupled stochastic and chaotic bistable systems.

Phase synchronization of switchings in stochastic

We study synchronization of switching processes in stochastic and chaotic bistable the systems driven by а periodic signal in terms of phase synchronization. Introducing instantaneous phases of transitions between metastable states and the periodic forcing we show explicitly the effect of phase locking. The dynamics of phase difference арреагs to be qualitatively equivalent to that of a synchronized classical self-sustained oscillator. We have found that the degree of phase coherence between the input signal and the response estimated employing the cifective diffusion constant is maximal at an optimal noise level in stochastic bistable system or at an optimal value of а control parameter in а purely deterministic case. We also consider the effect of mutual synchronization of the switching processes in coupled stochastic anf chactic bistable systems.