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Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on

Date 29-31 Oct. 2010

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Displaying Results 1 - 25 of 112
  • [Front cover]

    Publication Year: 2010 , Page(s): C1
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  • [Title page i]

    Publication Year: 2010 , Page(s): i
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  • [Title page iii]

    Publication Year: 2010 , Page(s): iii
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  • [Copyright notice]

    Publication Year: 2010 , Page(s): iv
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  • Table of contents

    Publication Year: 2010 , Page(s): v - xi
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  • Welcome message from the Conference Chairs

    Publication Year: 2010 , Page(s): xii
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  • Program and Organizing Committees

    Publication Year: 2010 , Page(s): xiii - xiv
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  • list-reviewer

    Publication Year: 2010 , Page(s): xv
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  • Lag Synchronization of Delayed Chaotic Systems Using Neural Network-Based Sliding-Mode Control

    Publication Year: 2010 , Page(s): 3 - 7
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (354 KB) |  | HTML iconHTML  

    In this paper, the sliding-mode lag synchronization control scheme is proposed based on the neural network to synchronize two different delayed chaotic systems. An integral delayed sliding surface is presented to design the sliding mode control. The lag synchronization controller is achieved by combining the RBF (radial basis function) neural network with sliding-mode control. Numerical simulations are presented to demonstrate the effectiveness of the proposed sliding-mode lag synchronization control scheme. View full abstract»

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  • Finite-Time Synchronization of Non-autonomous Chaotic Systems with Unknown Parameters

    Publication Year: 2010 , Page(s): 8 - 13
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (259 KB) |  | HTML iconHTML  

    Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the controllers and parameters update laws. The Duffing equation and a gyrostat system are chosen as the numerical examples to show the validity of the present method. View full abstract»

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  • Modified Projective Synchronization of Oscillating Circuit with Random Parameter

    Publication Year: 2010 , Page(s): 14 - 18
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (259 KB) |  | HTML iconHTML  

    The modified projective synchronization problem is concerned in a non-autonomous oscillating circuit with random parameter. At first, the oscillating circuit is transformed into its equivalent deterministic nonlinear one by the Chebyshev polynomial approximation. Suitable controllers and adaptive laws of parameters are given to make the two systems achieve synchronization. Numerical results show the effectiveness of this method. View full abstract»

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  • Chaos Synchronization Between Two Stochastic Lorenz-family Systems

    Publication Year: 2010 , Page(s): 19 - 23
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (278 KB) |  | HTML iconHTML  

    In this paper, we address stochastic chaos synchronization of two stochastic Lorenz-family systems with bounded random parameters. In the analysis the stochastic Lorenz-family system is firstly transformed into an equivalent deterministic nonlinear system by the Chebyshev polynomial approximation, so that the chaos synchronization problem of stochastic Lorenz-family systems can be reduced into that of the equivalent deterministic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a series of simple feedback control laws are applied to two identical stochastic Lorenz-family systems. Numerical simulation shows the effectiveness of synchronous programs. View full abstract»

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  • Pinning Synchronization of Directed Complex Dynamical Networks with Multi-links

    Publication Year: 2010 , Page(s): 24 - 28
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (317 KB) |  | HTML iconHTML  

    Based on a method of network split through different nature of time-delay, this paper is further investigates the pinning synchronization of the directed complex dynamical networks with multi-links. Via the theory of Lyapunov stability combined with linear matrix inequalities (LMIs) technique and the method of the free-weighting matrix, some sufficient conditions for global synchronization by adding linear feedback controllers to a part of nodes are obtained. Numerical examples are also provided to demonstrate the effectiveness of the theory. View full abstract»

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  • Impulsive Synchronization for Reaction-Diffusion System

    Publication Year: 2010 , Page(s): 29 - 33
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (826 KB) |  | HTML iconHTML  

    In this paper, an impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equiattractivity property of the impulsive error system, the impulsive synchronization of the reaction-diffusion system is investigated, and the sufficient conditions leading to the equiattractivity property are obtained, and a numerical example is given. View full abstract»

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  • Hybrid Synchronization of Hyperchaotic Lü System Based on Passive Control

    Publication Year: 2010 , Page(s): 34 - 38
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (455 KB) |  | HTML iconHTML  

    In this paper, based on passivity theory, coexistence of anti-synchronization and complete synchronization is found between two identical hyper chaotic Lu systems with different initial conditions. The passive controller is employed to make the error dynamical system not only passive but also asymptotically stable. Numerical simulation results illustrate that the designed controller can realize anti-synchronization of three pairs of states and complete synchronization of the remaining one pair. View full abstract»

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  • Generalized Synchronization of Complex Dynamical Networks with Different Nodes and Different Orders

    Publication Year: 2010 , Page(s): 39 - 42
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (330 KB) |  | HTML iconHTML  

    This paper studies the generalized synchronization between two completely different complex dynamical networks. We present two complex dynamical networks, in which the nodes of the network are different and each node has the different dimensional dynamical system. Then we give a nonlinear control scheme based on Lyapunov stability theory, and derive a sufficient criterion for this generalized synchronization. To validate the theoretical results, we give some chaotic examples. Matlab simulation results further demonstrate the feasibility and effectiveness of the theoretical results. View full abstract»

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  • Chaos Control and Synchronization of a New Chaotic System

    Publication Year: 2010 , Page(s): 43 - 47
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    This paper introduces a new chaotic system. Some basic dynamical properties are studied, such as the equilibria, the Lyapunov exponents and the fractal dimension. Based on these properties, effective feedback controllers are proposed for stabilizing chaos to unstable equilibria. In addition, based on Lyapunov stability theory, sufficient condition for the synchronization has been analyzed theoretically for two different response systems, and compare the speed of synchronization between the drive system and two different response systems. Numerical simulations are given to show the effectiveness of these methods. View full abstract»

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  • Generalized Function Projective Synchronization of a Class of Delayed Chaotic Systems

    Publication Year: 2010 , Page(s): 48 - 52
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (356 KB) |  | HTML iconHTML  

    In the literatures, most studies mainly concentrate on synchronization of the finite-dimensional chaotic systems, i.e., the chaotic systems without time delay. To overcome this limitation, generalized function projective synchronization (GFPS) of a class of delayed chaotic systems is investigated in this paper. In the GFPS scheme, the drive and response systems are asymptotically synchronized up to a desired scaling function matrix. Based on LaSalle's invariance principle and the adaptive control method, a nonlinear controller and corresponding update law are designed to achieve GFPS between two different delayed chaotic systems. Numerical simulations are given to validate the effectiveness the proposed synchronization scheme. View full abstract»

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  • Adaptive Anti-synchronization of Cai Chaotic Systems with Fully Unknown Parameters

    Publication Year: 2010 , Page(s): 53 - 56
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (366 KB) |  | HTML iconHTML  

    This paper investigates the anti-synchronization problem of a class of novel chaotic systems with fully unknown parameters based on the adaptive control method. By virtue of the definition of anti-synchronization error signal as the sum of state signals of the drive system and the response system to be synchronized, the synchronization error system is derived. Then, a simple adaptive state feedback controller with proper parametric adaptive law is designed to stabilize the synchronization error system based on the Lyapunov stability theory. Finally, an illustrative example is presented to show the effectiveness of the proposed method. View full abstract»

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  • Synchronization Analysis in Local-Interaction Networks with Time-Varying Delays

    Publication Year: 2010 , Page(s): 57 - 61
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (667 KB) |  | HTML iconHTML  

    In this paper, we consider a complex dynamical network with time-varying delays. We prove that the dynamical complex network is synchronized if the delays satisfy the linear matrix inequality. In addition, we analyze the synchronization of the given network based on the coupling configuration matrix and the delays of the synchronous target. Some simulations illustrate our theoretical results. View full abstract»

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  • A Note on the Exact Solutions of a Nonlinear Diffusion-Convection Equation

    Publication Year: 2010 , Page(s): 65 - 68
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    By using the method of planar dynamical systems, the dynamical behavior of the corresponding traveling wave system to a nonlinear diffusion-convection equation is discussed, and the exact explicit parametric representations of all the traveling wave solutions are obtained. View full abstract»

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  • Monotone Traveling Wave Solution for a Delayed Reaction-Diffusion Equations

    Publication Year: 2010 , Page(s): 69 - 71
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (998 KB) |  | HTML iconHTML  

    In the paper, we derive a delayed reaction-diffusion equations, which describes a multi-species Predator-prey system. By coupling the perturbation approach with the method of upper and lower solutions, we prove that the traveling wave fronts exist and appear monotone, which connect the zero solution with the positive steady state. Finally, we draw a conclusion to point out that the existence of traveling wave fronts for delayed reaction-diffusion equations is an interesting but difficult problem. View full abstract»

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  • Hopf Bifurcation Analysis and Control of a Ratio-Dependent Predator–Prey Model of Holling IV Type with Time Delayed Feedback

    Publication Year: 2010 , Page(s): 72 - 76
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (506 KB) |  | HTML iconHTML  

    In present paper, the time-delayed feedback is coupled with a ratio-dependent predator-prey model of Holling □ type. This predator-prey system can be seen as a human-controlled biological system. Regarding the delay as parameter, we investigate the existence of local Hopf bifurcations. By using the Hassard method and the center manifold argument, we derive the explicit formulas determining the stability, direction and other properties of bifurcation. Finally, we give a numerical simulation, which indicates that when the delay passes through certain critical values, the positive equilibria is converted into a stable steady state. It means that we can control the stability of the equilibria by man-made control of the number of the predator with certain age. View full abstract»

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  • Scalar Feedback Control in a Chaotic Prey-Predator System

    Publication Year: 2010 , Page(s): 77 - 81
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (519 KB) |  | HTML iconHTML  

    Scalar feedback control in a chaotic discrete prey predator system is investigated. The existence of the fixed points and the local stability of the positive fixed point are discussed. By using center manifold theorem, it is proved rigorously that the system undergoes the flip bifurcation near the unique positive fixed point. To eliminate the undesirable chaos induced by the flip bifurcation and stabilize the unstable periodic points, scalar feedback control is adopted. It is clear that the control strategies can be obtained analytically. Numerical simulations are presented not only to illustrate the results with the theoretical analysis but also to exhibit the new complex dynamics. The effectiveness of the control method are shown at last. View full abstract»

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  • New Estimations of Globally Exponentially Attractive Sets and Synchronization Controlling of a Class of Chaotic Finance Systems

    Publication Year: 2010 , Page(s): 82 - 86
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (939 KB) |  | HTML iconHTML  

    In the paper, we firstly give a new accurate spheroid estimation formula of the globally exponentially attractive set for all positive parameters by constructing a generalized positive definite Lyapunov functions with radially unbound. Secondly, based on inequalities techniques, linear feedback control with one input or two inputs is proposed to realize the globally exponential synchronization of two chaotic finance systems. The controllers here designed have simple structure. The numerical simulation results are in line with the theoretical analysis. View full abstract»

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