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The following topics are dealt with: chaos synchronization; chaos-based control and optimization; chaos-based cryptography; chaotic dynamics; complex system; and fractals theory.
In this paper, the chaotic characteristic of the Sprott E system with parameter is studied in theoretical analysis and numerical simulations, and abundant dynamical behavior is presented. In order to realize the anti-synchronization of the system, a proper systematical state controller is designed. Numerical simulations show that the state observer works well.
This paper is concerned with modified function projective synchronization in discrete-time chaotic and hyperchaotic systems. The control method is based on the active control idea and the backstepping design method. Firstly, the projective synchronization control method is given mathematically. Then, the 2D discrete-time Henon map, the 2D discrete-time kawakami system, the 3D Henon map and the 3D...
In this paper, we investigate dynamical complexity of general planar piecewise isometries. We reveal the relations between the complexity and the admissible finite words generated by a planar piecewise isometry, and present the necessary and sufficient conditions for the complexity to be zero. Furthermore, we give equivalent statements for the complexity to be not less than 1, and also discuss some...
This paper proposes a finite time synchronization scheme for nonautonomous multiscroll chaotic systems via unidirectional nonsmooth feedback control. Based on the finite time stability theory, some sufficient criteria for the finite time synchronization of the scheme are proposed and formulated in the algebraic inequalities. The settling times of the synchronization are well estimated. The effectiveness...
The global synchronization of chaotic brushless DC motor (BLDCM) systems via variable substitution control is investigated. A master-slave synchronization scheme with variable substitution control is constructed at first. Based on this scheme, some sufficient criteria for global chaos synchronization of the master and slave BLDCM systems via various single-variable coupling are proved. The effectiveness...
In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the...
Anti-synchronization of two identical chaotic systems with unknown parameters and unknown parameters identification are discussed. A chaotic system with unknown parameters is considered as master system, and a slave system containing the estimated values of unknown parameters of the master system is constructed. We design some controllers consisting of adaptive controller and the update law of estimation...
In this paper, a global chaos synchronization scheme of three identical systems is investigated. By choosing proper coupling parameters, the states of all the three systems can be synchronized. Then this method was applied to secure communication through chaotic masking, used three coupled identical systems, propose a novel method of chaos encryption, after encrypting in the previous two transmitters,...
The problem of synchronization for fractional master-slave Lorenz chaotic systems coupled with sector nonlinear control input is investigated. Using the sliding mode control technique, a control scheme containing a new fraction-integer integral (FII) switching surface is developed to guarantee the synchronization of fractional Lorenz chaotic systems even when the sector nonlinearity is present. Numerical...
A method based on adaptive sliding mode variable structure controller is presented for synchronization of a class of chaotic system with perturbations and parameter mismatch. The controller is more robust to perturbations, parameter mismatch and inputs sector nonlinearity. Moreover, no restrictive assumption is imposed on the system. Thus the adaptation range of the proposed method becomes broad....
This study addresses the H∞ synchronization problem for switched chaotic systems which depend on a time-driven switching law. Based on the Lyapunov stability theorem, Linear matrix inequality (LMI), and Linear matrix equality (LME) optimization techniques, an output feedback controller guaranteeing the synchronization of the switching master-slave chaotic systems is proposed. Finally, a numerical...
An adaptive method is proposed to synchronize two different systems with unknown parameters and disturbance. Base on Lyapunov stability theory, an adaptive controller and parameters update laws are designed to synchronize two different chaotic systems even though the bounds on disturbance and parameters are unknown. Numerical simulation results verify the effectiveness of the method.
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