论文标题

随机时间动态系统I:一般结构

Random Time Dynamical Systems I: General Structures

论文作者

da Silva, José Luís, Kondratiev, Yuri

论文摘要

在本文中,我们介绍了动态系统中随机时间变化的概念。从属原理可用于研究随机时间系统的长时间行为。我们在一类随机时间的某些假设下显示,次级系统表现出较慢的时间衰减,这取决于随机时间特征。在路径渐近造成的路径中,随机时间变化反映在产生动力学的新速度中。

In this paper we introduce the concept of random time changes in dynamical systems. The subordination principle may be applied to study the long time behavior of the random time systems. We show, under certain assumptions on the class of random time, that the subordinated system exhibits a slower time decay which is determined by the random time characteristics. In the path asymptotic a random time change is reflected in the new velocity of the resulting dynamics.

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