无切延迟作用的TD-ERCS混沌系统的周期轨道

重点研究了无切延迟操作时TD-ERCS系统的周期轨道分布和描述方法，揭示了系统圆对称性退化导致周期轨道退化和消失的现象．定义了周期簇概念和4个周期数来描述TD-ERCS系统的周期轨道．通过建立一个对称性退化的刚性模型，解释了过焦系统是TD-ERCS系统中的周期2对称性退化的结果，并给出了几个短周期．

Studies on Periodic Trajectories of the TD-ERCS Chaotic System without Tangent-Delay Operation

The researches reported herein lay emphasis upon the expressive method and the distribution of the periodic trajectories in TD-ERCS under the tangent-delay operation m =0, and upon the degeneration and disappearance of periodic trajectories induced by the degeneration of circular symmetry in the system. A periodic trajectory can be expressed with only four period-numbers. It is explained that a cross-focus system in ERCS is from the degenerated symmetry Period trajectory 2 through founding a rigidity model about the degeneration of circular symmetry. Some important short periods are provided.