一个强、弱耗散功能可分隔系统中的特征激变

报道一个由保守映象和耗散映象不连续、不可逆地分段描述的系统，以及在其中发生的一例特征激变.激变的独特之处在于逃逸孔洞.由映象的不连续、不可逆性而导致相平面中出现一个胖分形迭代禁区网，它使得一个混沌吸引子突然失稳而发生激变后出现的两个周期吸引子的吸引域边界成为点滴状.仅仅在每个周期点邻近存在这样的一个作为逃逸孔洞的、受到强耗散性支配和禁区边界限制的规则边界吸引域. 关键词： 激变 保守映象 耗散映象 逃逸孔洞

Characteristic crisis in a system with distinguishable strong and weak dissipation functions

This article reports a crisis in a system described by a concatenation of a conservative and a dissipative mapping. The special feature of the crisis lies in its special escaping hole. A fat fractal forbidden net, induced by interaction between discontinuous and noninvertible properties, introduces rippled-like attraction basins of two periodic attractors, which appear after the crisis when a chaotic attractor suddenly loses stability. There are small areas, which serve as escaping holes and are dominated by strong dissipation as well as confined by the boundary of forbidden region only in the vicinity of each periodic point. To our knowledge, the crisis has not been reported before.