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Generalized Synchronization of Non-identical Chaotic Systems

Author: WangLuLu
Tutor: WangXingYuan
School: Dalian University of Technology
Course: Applied Computer Technology
Keywords: Different structure Generalized projective synchronization Discrete Chaotic System Fuzzy Neural Network Multi- scroll chaotic attractors
CLC: O415.5
Type: Master's thesis
Year: 2009
Downloads: 82
Quote: 1
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Abstract


Nonlinear science is a study of nonlinear phenomena common basic science, chaos theory is an important branch of nonlinear science. In this paper, the theoretical analysis and numerical simulation method of combining study generalized synchronization of different chaotic systems, the main innovation of the work are as follows: (1) the use of a linear feedback method, nonlinear feedback law and active control of a The new three-dimensional chaotic system of self-synchronization problem, based on Lyapunov stability theory and activate the control technology theoretically gives a sufficient condition to achieve self-synchronization. Numerical simulations show the effectiveness of the three synchronization methods. (2) study the the generalized synchronization problems between the different structure Discrete Mapping Chaotic Systems, an effective generalized synchronization program. Theoretical analysis shows that reasonably select error gain matrix to achieve generalized synchronization between discrete insinuate chaotic system. Simulation results further show that the effectiveness of the proposed program. The design of the controller has a certain robustness can be achieved not only the same dimension discrete insinuate generalized synchronization between chaotic systems, but also applicable for generalized synchronization problems between the different dimensional discrete insinuate chaotic system. (3) defines the broad sense of the different chaotic systems with unknown parameters (delay, expectations and completely) projection synchronization, and based on feedback control and adaptive control method gives an effective synchronization scheme. Select hyperchaotic Chen system and hyperchaotic Lorenze system to indicate the effectiveness of the proposed scheme. In the design of the controller and parameter adaptive law, the drive system and response system quickly achieve the synchronization. In addition, the program can also be extended to the different structure of generalized discrete chaotic system (delay expected and completely) projection synchronization. (4) multi-scroll chaotic attractor control problem. For most chaotic systems can be decomposed into a linear part and nonlinear part, fuzzy neural network with arbitrary precision approximation nonlinear dynamical systems, nonlinear compensator, to reduce or eliminate the system of nonlinear factors the impact so chaotic nonlinear system is approximated as a linear system, and then design a linear state feedback controller to control multi-scroll chaotic system to a specified reference orbit Finally, through numerical simulation, show that the effectiveness of the synchronization scheme.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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