A METHOD FOR THE STUDY OF WHISKERED QUASI-PERIODIC AND ALMOST-PERIODIC SOLUTIONS IN FINITE AND INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2009-05-01 DOI:10.3934/ERA.2009.16.9

E. Fontich, R. Llave, Y. Sire

引用次数: 28

Abstract

We describe a method to study the existence of whiskered quasi-periodic solutions in Hamiltonian systems. The method applies to finite dimensional systems and also to lattice systems and to PDE's including some ill posed ones. In coupled map lattices, we can also construct solutions of infinitely many frequencies which do not vanish asymptotically.

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有限维和无限维哈密顿系统中须状拟周期和概周期解的一种研究方法

给出了一种研究哈密顿系统中须状拟周期解存在性的方法。该方法适用于有限维系统，也适用于晶格系统和偏微分方程，包括一些不适定方程组。在耦合映射格中，我们也可以构造无穷多个频率的解，这些频率不会渐近消失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007