一种类耗散系统的特征动力学行为

CHARACTERISTIC DYNAMIC BEHAVIORS OF A TYPE OF QUASI-DISSIPATIVE SYSTEMS

研究发现 ,在分段连续的保守系统中可能产生一种被称为“不连续性导致的不可逆性”.这种不可逆性可以导致一种“类耗散性”.它的表现之一是在原保守系统的混沌轨道中出现一个由不可逆性决定的“逃逸孔洞”,因之混沌迭代变为“类瞬态”,缓慢地从孔洞逃逸向某个规则运动的椭圆岛 .

This paper shows that a so-called'non-invertibility induced by discontinuity'can be produced in some piece-wise smooth conservative systems.It can induce a kind of'quasi-dissipativity'.One of its expressions is the appearance of an'escaping hole'inside a chaotic trajectory in the original conservative system,so that the chaotic iterations change to a chaotic transience and then slowly escape via the hole to an elliptic island showing regular motions.The escaping scaling behavior has been determined numerically.