不同Poincare截面上Haken类系统的OGY控制
OGY Control of Haken Like Systems on Different Poincare Sections
摘要：
Chua系统、Lorenz系统、Chen系统和Lü系统都是混沌系统，它们的状态空间方程与光学慢-快系统的非线性模型Haken系统非常相似。这些Haken类系统具有非常相似的性质。它们都有两个慢但不稳定的特征值和一个最快但稳定的特征值。这使得慢流形的一个近似等价于系统的不稳定流形。另一方面，混沌系统的一些重要控制方法，如OGY方法，其主要实质是对系统离散模型在定义流形（Poincare映射）上的控制。本文通过对H-L系统慢流形的不同定义方法，研究了OGY控制镇定问题的有效性。
英文摘要：
The Chua system, the Lorenz system, the Chen system and The Lü system are chaotic systems that their state space equations is very similar to Haken system which is a nonlinear model of a optical slow-fast system. These Haken-Like Sys-tems have very similar properties. All have two slow but unstable eigenvalues and one fastest but stable eigenvalue. This lets that an approximation of slow manifold be equivalent with unstable manifold of the system. In other hand, control of discreet model of the system on a defined manifold (Poincare map) is main essence of some important control methods of chaotic systems for example OGY method. Here, by using different methods of defining slow manifold of the H-L systems the efficiency of the OGY control for stabilizing problem investigated.
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