复杂网络系统的混沌动态行为分析-控制理论与控制工程专业论文.docxVIP

华 华 中 科 技 大 学 硕 士 学 位 论 文 II II Abstract Chaotic behavior is the pseudo-random behavior in deterministic nonlinear system. Control and anti-control of chaotic system has been a hot focus of research in nonlinear system theory and application. Due to the ubiquity of chaos and some useful applications in non-classical cases, the study on the control and anti-control of chaos is of significant importance. Just like the ubiquity of chaotic system, complex networks can also be used to model and characterize many natural and man-made networks. However, the anti-control problem of chaos in the settings of complex network has never been investigated. This thesis studied the problem of chaotification of complex networks. Whats more, the thesis also talked about novel chaotic attractors in Hopfield neural networks and some three dimensional systems. In summary, the main results include: Chaotification of complex networks is studied via feedback control, and sufficient and necessary results are given. Chaotification of complex networks is investigated via impulsive control, and the relationship of impulse interval and control gain is presented to guarantee all the states of every node in complex networks are chaotic. A novel chaotic attractor in Hopfield neural network is found. The existence of horseshoe is rigorously verified by the computer aided simulation, and then the synthesis of chaotic attractor is studied via parameter switching. The concept multichaos is given and two concrete examples are given to clarify the phenomenon of multichaos. Keywords: Chaos; Chaotification; Complex networks; Neural network; Topological horseshoe; Impulsive control; PAGE IV PAGE IV 目录 摘 要 I HYPERLINK \l _bookmark0 Abstract II HYPERLINK \l _bookmark1 1 绪论 HYPERLINK \l _bookmark2 1.1 引言 (1) HYPERLINK \l _bookmark3 1.2 国内外研究概况 (4) HYPERLINK \l _bookmark4 2 基于反馈控制实现复杂网络混沌化 HYPERLINK \l _bookmark5 2.1 引言 (6) HYPERLINK \l _bookmark6 2.2 反馈控制实现的连续复杂网路的混沌化 (6) HYPERLINK \l _