Noise-enhanced phase synchronization in time-delayed systems.

Finite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems

Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...

Synchronization for Complex Dynamic Networks with State and Coupling Time-Delays

This paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. Therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. Based on the Lyapunov-Krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (LMIs)...

Time-delayed feedback in neurosystems.

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. A time delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic synchronization of instantaneously coupled neurons under the influence of white noise can be deliberately controlled by local time-delayed feedback. By appropriate choic...

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

Adaptive Generalized Function Projective Synchronization in Coupled Time-delayed Systems with Unknown Parameters and Noise Perturbation

Abstract: Noise perturbation and time delay are ubiquitous in both nature and man-made systems, and must be taken into consideration in the design of synchronization. In this paper, a design of adaptive controller and update laws for generalized function projective synchronization in coupled time-delayed systems with unknown parameters and noise perturbation are established. Based on the LaSall...