【摘要】 通过对一平面二维映射系统非线性动力学行为的分析，发现该系统状态随参数变化，经过稳定焦点、极限环（ 不变环） 、倍周期分岔、收缩到低维流形上的混沌吸引子（ 具有一个正 Ｌｙａｐｕｎｏｖ 指数） 、最后到在有界区域弥散开来的混沌吸引子（ 具有两个正 Ｌｙａｐｕｎｏｖ 指数） 的过程．通过对该系统不动点的分析揭示了吸引子的吸引域边界结构，即不稳定第二类结点与不稳定偶数周期点在吸引域边界上的相间排列．更多还原

【Abstract】 The nonlinear dynamics of a two dimensional map system on a plane is studied.We found that the attractor of the system changed from stable focus,stable invariant circle(limit circle) to the chaotic attractor contracted into low dimensional manifold with one positive Lyapunov exponent,finally to the chaotic attractor filling a zone with a smooth boundary with two positive Lyapunov exponents during the change of the system parameters.The characters of the fixed points are analyzed.We found that the unstable second class node and the unstable even period points are arranged alternatively on the boundary.  PACC: 0545更多还原