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The Study on the Generalized Synchronization of Coupled Chaotic Systems

Author: LiuHuaYan
Tutor: PeiLiJun
School: Zhengzhou University
Course: Applied Mathematics
Keywords: Generalized synchronization Coupled chaotic systems Branch
CLC: O415.5
Type: Master's thesis
Year: 2010
Downloads: 36
Quote: 1
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Abstract


Coupled chaotic system dynamics and synchronization problem of a foundation in the study of nonlinear dynamics and the financial support of the National Natural Science Foundation of China (No. : 10702065 ) , the paper examines the problem of generalized synchronization of coupled chaotic systems in First Generalized synchronization streams form the basis of generalized synchronization manifold conversion of the existence of the problem of existence for the solution of partial differential equations . therefore can use the approximate power series expansion method to obtain the synchronization manifold , then study the synchronization the manifold attract that synchronous stability . Lorenz-Rossler system to completely replace the Lorenz system as well as a one-way linear coupling , for example , obtained synchronization manifold and its synchronization manifold with Winpp Mathematic6.0 painting diagram comparing the effectiveness of the method . Secondly, the discussion of the one-way , bi- linear coupling of the dynamic behavior of the Lorenz-Rossler system . Lorenz-Rossler system of one-way linear coupling can appear chaotic state , coupling can also greatly increase the chaotic region . Lorenz-Rossler system of bi- linear coupling of codimension 2 bifurcation this suggests that , even if the simple linear coupling can dramatically change the nature of the dynamics of the chaotic system , its dynamics are more complex .

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