耗散受激系统的统计性质：临界指数和标度不变性
Statistical properties of a dissipative kicked system: critical exponents and scaling invariance
摘要：
提出了一种新的依赖于单个临界指数（加速指数）的普适{ \it经验}函数，用于描述耗散反冲转子的标度行为。标度形式主义被用来描述两种制度的耗散：（i）强耗散和（ii）弱耗散。对于情形（i），该模型表现出一条称为倍周期的通向混沌的路径，并得到了沿分岔的Feigenbaum常数。当弱耗散被认为是平均行动，以及它的标准偏差描述使用标度参数与临界指数。通用的{ \it empirical}函数非常好地描述了平均作用从有限增长到无限增长的相变。
英文摘要：
A new universal {\it empirical} function that depends on a single critical exponent (acceleration exponent) is proposed to describe the scaling behavior in a dissipative kicked rotator. The scaling formalism is used to describe two regimes of dissipation: (i) strong dissipation and (ii) weak dissipation. For case (i) the model exhibits a route to chaos known as period doubling and the Feigenbaum constant along the bifurcations is obtained. When weak dissipation is considered the average action as well as its standard deviation are described using scaling arguments with critical exponents. The universal {\it empirical} function describes remarkably well a phase transition from limited to unlimited growth of the average action.
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