Chengrong Xie

Finite-time synchronization of the complex dynamical network with non-derivative and derivative coupling

This paper is concerned with finite-time synchronization for a class of the complex dynamical network with non-derivative and derivative coupling. Different from the existing related results, a new finite-time synchronization theory is proposed to investigate finite-time synchronization of the complex dynamical network with non-derivative and derivative coupling, several new and effective criteria are derived to realize synchronization in finite time of the addressed complex dynamical network with non-derivative and derivative coupling. Finally, some numerical examples are provided to verify the theoretical results established in this paper. A new finite-time synchronization theroy is proposed.Several effective criteria are derived to realize finite-time synchronization of the complex dynamical network.Numerical examples are provided to verify the theoretical results established.

Chaos Synchronization of Financial Chaotic System with External Perturbation

This paper investigates the problem of two kinds of function projective synchronization of financial chaotic system with definite integration scaling function, which are not fully considered in the existing research. Different from the previous methods, in this paper, the following two questions are investigated: (1) two kinds of the definite integration scaling function projective synchronization are given; (2) the upper and lower limit of the definite integral scaling function are the bound dynamical systems. Finally, illustrative example is provided to show the effectiveness of this method.

Dynamic Evolution Analysis of Stock Price Fluctuation and Its Control

This paper studies a simple dynamical system of stock price fluctuation time series based on the rule of stock market. When the stock price fluctuation system is disturbed by external excitations, the system exhibits obviously chaotic phenomena, and its basic dynamic properties are analyzed. At the same time, a new fixed-time convergence theorem is proposed for achieving fixed-time control of stock price fluctuation system. Finally, the effectiveness of the method is verified by numerical simulation.

A class of fast fixed-time synchronization control for the delayed neural network

Abstract This paper deals with the synchronization control of a class of delayed neural networks using a fast fixed-time control theory. By employing Lyapunov stability theory, a novel sufficient criterion is derived such that two neural networks can be synchronized within a fixed-time. Compared with some existing results, the proposed controller can render two neural networks faster synchronized. A numerical example is given to demonstrate the effectiveness of the criterion.

Bounded Scaling Function Projective Synchronization of Chaotic Systems with Adaptive Finite-Time Control

This paper investigates the bounded scaling function projective synchronization of uncertain chaotic systems using adaptive finite-time control. Based on finite-time control and inequality principle, the new adaptive finite-time controller is designed to achieve two chaotic systems scaling function projective synchronized, and uncertain parameters of chaotic systems are also identified. Moreover, in comparison with those of the existing scaling function synchronization, the given scaling function can be more complex bounded functions. Some numerical are also given to show the effectiveness of the proposed method.

Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks

We investigate the problem of adaptive mean square synchronization for nonlinear delayed coupled complex networks with stochastic perturbation. Based on the LaSalle invariance principle and the properties of the Weiner process, the controller and adaptive laws are designed to ensure achieving stochastic synchronization and topology identification of complex networks. Sufficient conditions are given to ensure the complex networks to be mean square synchronization. Furthermore, numerical simulations are also given to demonstrate the effectiveness of the proposed scheme.

On Dynamic Analysis of a New Single Parameter Chaotic Attractor

This paper introduces a single parameter chaotic system, which can generate a complex 4-scroll chaotic attractor, a 3-scroll chaotic attractor, and two 2- scroll chaotic attractors with variation of single parameter. Some basic dynamical properties, such as Lyapunov exponents, fractal dimension, Periodic windows, spectrum map, and the compound structure of the new chaotic system are investigated, either numerically or analytically. The obtained results show clearly that the system discussed in this paper is a new chaotic system and deserves further detailed investigation.

Adaptive Finite-Time Synchronization of Neutral Type Dynamical Network with Double Derivative Coupling

This paper discusses the problem of adaptive finite-time synchronization for neutral type dynamical network model with double derivative coupling. Based on the Lyapunov functional theory, inequality theorem, and adaptive control technique, some synchronization criteria of neutral type dynamical network are established by using adaptive finite-time control, which is different from the existence of finite-time synchronization of neutral type network using LMI and matrix equality constraint methods. Moreover, when the dynamics nodes of the neutral type network contain delay or no delay, the control gain of the response network are also provided. Finally, the effectiveness of the synchronization criteria proposed in this paper is verified by numerical simulations.