用Perron-Frobenius算子计算有限时间李雅普诺夫指数
Computation of Finite Time Lyapunov Exponents using the Perron-Frobenius operator
摘要：
相空间输运问题在理论上和应用上都很有意义，人们利用几何和概率方法对它进行了广泛的研究。在过去十年中出现的两个重要工具是有限时间李雅普诺夫指数（FTLE）和Perron Frobenius算子。这些方法之间的关系迄今尚未得到明确的理解。在本文中，提出了一种方法来计算FTLE从Perron Frobenius算子，从而提供了一个步骤，将这两种方法结合到一个共同的框架。
英文摘要：
The problem of phase space transport which is of interest both theoretically and from the point of view of applications has been investigated extensively using geometric and probabilistic methods. Two of the important tools for this that emerged in the last decade are the Finite time Lyapunov exponents (FTLE) and the Perron-Frobenius operator. The relationship between these approaches has not been clearly understood so far. In this paper a methodology is presented to compute the FTLE from the Perron-Frobenius operator, thus providing a step towards combining both the methods into a common framework.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
