标题: | 新Duffing-Van der Pol 系统的浑沌现象,实用浑沌广义同步,辛同步,应用GYC部分区域稳定理论的浑沌同步及控制 Chaos, Pragmatical Chaotic Generalized Synchronization, Symplectic Synchronization, and Chaos Synchronization and Control by GYC Partial Region Stability Theory of a New Duffing-Van der Pol System |
作者: | 许凯铭 Kai-Ming Hsu 戈正铭 Zheng-Ming Ge 机械工程学系 |
关键字: | 浑沌系统;浑沌同步;浑沌控制;实用渐进稳定性理论;GYC部分区域稳定理论;Chaos;Chaos synchronization;Chaos control;pragmatical asymptotical stability theorem;GYC partial region stability theory |
公开日期: | 2007 |
摘要: | 本篇论文以相图、庞卡莱映射图、Lyapunov 指数、分歧图以及参数图等数值方法研究新Duffing-Van der Pol 系统的浑沌现象。对此系统研究应用实用渐进稳定性理论和适应性控制法则来达成实用正反投影浑沌广义同步;应用新动态表面控制和实用渐进稳定理论来获得不同阶系统之实用浑沌交织同步。更进一步使用GYC部分区域稳定理论来研究系统的广义浑沌同步、浑沌控制和浑沌反控制。此外,将探讨新Duffing-Van der Pol 系统以Legendre function为参数的浑沌行为及同步。在以上研究中,皆可由相图和时间历程图得到验证。 In this thesis, the chaotic behavior in new Duffing-van der Pol system is studied by phase portraits, time history, Poincaré maps, Lyapunov exponent, bifurcation diagrams, and parametric diagram. A new kind of chaotic generalized synchronization system, pragmatical hybrid projective chaotic generalized synchronization (PHPCGS), is obtained by pragmatical asymptotical stability theorem and adaptive control law. Second new type for chaotic synchronization, pragmatical chaotic symplectic synchronization (PCSS), is obtained by new dynamic surface control and pragmatical asymptotical stability theorem. A new method, using GYC partial region stability theory, is studied for chaos synchronization, chaos control, and chaos anti-control. Moreover, the new Duffing-van der Pol system with Legendre function parameters is studied for chaos and synchronization. Numerical analyses, such as phase portraits and time histories can be provided to verify the effectiveness in all above studies. |
URI: | http://140.113.39.130/cdrfb3/record/nctu/#GT009514584 http://hdl.handle.net/11536/38576 |
显示于类别: | Thesis |
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