另一类反应扩散系统的圆对称模式

对另一类反应扩散系统，在固定边界条件下，在二维空间所形成的有序结构进行了研究。结果表明，对于圆对称的边界，其所形成的空间模式也是圆对称的。     

A Fat strange Repeller

This article reports an observation on a fat strange repeller, which appears after a characteristic crisis observed in a kicked rotor subjected to a piecewise continuous force field. The discontinuity border in the definition range of the two-dimensional mapping, which describes the system, oscillates as the discrete time develops. At a threshold of a control parameter a fat chaotic attractor suddenly transfers to a fat transient set. The strange repeller, which appears after the crisis, is also a fat fractal, This is the reason why super-transience happens     

另一类反应扩散系统的圆对称模式

对另一类反应扩散系统，在固定边界条件下，在二维空间所形成的有序结构进行了研究。结果表明，对于圆对称的边界，其所形成的空间模式也是圆对称的。     

Unpredictable Property of a Kicked Billiard Ball

A simultaneous change in the systemic property of a kicked billiard ball is observed from an entirely smooth and conservative state to a piecewise smooth and quasi-dissipative state when a single controlling parameter has been adjusted. The transition induces a sudden change of a typical conservative stochastic web into a transient web. The iterations on the transient web eventually escape to some elliptic islands. In the meantime, a fat fractal forbidden web, which appears also at the threshold, grows up and cuts away increasingly more parts from the original conservative stochastic web. We numerically show that the initial conditions that generated different attractors are mixed in a random manner and the pattern remains unchanged even when smaller and smaller scales are used for examination, indicating a riddle-like basin structure that practically rules out the possibility of predicting the attractors from a given initial condition.     

双变量反应扩散体系的圆对称空间结构

求解一型仅在扩散系统，并根据其边界条件的圆对称性选取了极柱坐标系，用图形方法求解出所取控制参量的临界值及产生分岔的特征量，并用微扰法给出了体系产生的Ｃｕｓｐ分岔至二阶近似形式。