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Hopf Bifurcation and Generalized Synchronization of the Delayed Coupled Lorenz-Rossler Systems

Author: LiKunHua
Tutor: PeiLiJun
School: Zhengzhou University
Course: Basic mathematics
Keywords: Chaos Generalized synchronization Delays Hopf bifurcation
CLC: O157.5
Type: Master's thesis
Year: 2010
Downloads: 28
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Abstract


Classical Lorenz systems and Rossler system coupling dynamics coupled system for the study of synchronization has a fundamental role in the National Natural Science Foundation of China ( No.: 10702065 ) funded by this paper, delay dynamics analysis software DDE-BIFTOOL study delay coupled Lorenz-Rossler system dynamics , revealing the coupling and the impact of delay on system dynamics for one-way delay coupling case , only the coupling will affect the system 's equilibrium and stability, delay will not affect its local dynamics , but for two-way delay coupling situation , not only the coupling will affect its dynamics, and delays will affect its dynamics, making the system stable Hopf bifurcation occurs , so generalized synchronization of the two systems , that delay may inhibit chaos behavior .

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