Jian’an Fang

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.

Topology identification and adaptive synchronization of uncertain complex networks with non-derivative and derivative coupling

This paper proposes an approach to identify the topological structure and unknown parameters for uncertain general complex networks with non-derivative and derivative coupling. By designing effective adaptive controller, the unknown network topological structure and system parameters of uncertain general complex dynamical networks are identified simultaneously in the process of synchronization. Several useful criteria for synchronization are given. Finally, numerical simulations are presented to verify the effectiveness of the theoretical results obtained in this paper.

On dynamics analysis of a novel three-scroll chaotic attractor

This paper reports a novel chaotic member to the three-dimensional smooth autonomous quadratic system family, which is derived from the classical Chen system but exhibits a three-scroll chaotic attractor. The basic dynamical properties, such as Lyapunov exponents, fractal dimension, Poincare map and chaotic dynamical behaviors of the new chaotic system are studied, either numerically or analytically. Simulation results clearly show that this is a novel chaotic system and deserves further detailed investigation.

Impulsive Synchronization of Multilinks Delayed Coupled Complex Networks with Perturb Effects

This paper investigates impulsive synchronization of multilinks delayed coupled complex networks with perturb effects. Based on the comparison theory of impulsive differential system, a novel synchronization criterion is derived and an impulsive controller is designed simultaneously. Finally, numerical simulations demonstrate the effectiveness of the proposed synchronization criteria.