REDUCIBILITY OF REVERSIBLE SYSTEM WITH SMALL PERTURBATION

• 作者: Zhang Zhengyu
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 可逆系统 KAM 还原能力 稳定性 扰动理论 周期运动
• 年，卷（期）: 2005,（4）
• 页码范围: 629-638
• 页数: 10页
• 分类号: O175.13

摘要

<正>Reversible system following Hamiltonian system turns out to be another type of equation which has aroused wide interest in recent years. One open problem is whether the celebrated KAM theory and Nekhoroshev method can be extended to reversible system. As showed in [5], there exist KAM tori in reversible system. In this paper, we give a preliminary discussion on whether there is Nekhoroshev type result in reversible system. In particular, we try to apply this method to the reducibility of a type of common reversible system.