一例保守随机网的突变

A sudden change of a conservative stochastic web

在一个具有过电压保护功能的张弛振荡电路系统中发现当一个控制参数连续变化时,系统可以展示同时从连续到不连续、保守向类耗散的过渡.在一定参数组合下,这种转变体现为一个保守的、稳定的、由界轨破裂形成的随机层融汇构成的肥分形随机网向一个类耗散导致成为瞬态的、由不连续边界象集构成的瞬态随机网的过渡.这种过渡可以看作是一种特殊的激变,因此可以用迭代在瞬态随机网中的平均生存时间随控制参数的幂函数改变规律来描述.

A transition simultaneously from conservative to quasi-dissipative and from continuous to discontinuous is observed in an electronic relaxation oscillator with over-voltage protection when adjusting a control parameter continuously. With a certain group of parameters this transition displays a change of a conservative, stable fat fractal stochastic web, which is organized by the stochastic layers formed after the broken of the separatrixes to a quasi-dissipative, transient stochastic web organized by the image set of the discontinuous borderlines. This transition can be viewed as a special kind of crisis, therefore may be described by a power law of the averaged lifetime of the iterations in the transient stochastic web.