论文标题

部分可观测时空混沌系统的无模型预测

A proof of the $C^r$ closing lemma and stability conjecture

论文作者

Gao, Chang

论文摘要

长期以来,自庞加莱时代以来,通用动力系统就具有有限的周期性轨道。在本文中,为定期轨道关闭而提出了一种扰动方法。此方法适用于随时间变化和时间不变的向量字段。

It has long been conjectured that generic dynamical systems has finite periodic orbits, ever since the time of Poincaré. In this article, a perturbation method is proposed for the $C^r$ closing of periodic orbits. This method is applicable to both time-varying and time-invariant vector fields.

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