The Existence of Full Dimensional KAM Tori for Infinite Dimensional Hamiltonian Systems Without External Parameters

IF 1.1 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2026-09-23 DOI:10.1007/s10955-026-03701-3

Hongzi Cong, Zhenwei Liu, Zhihan Zhang, Juan Zhao

引用次数: 0

Abstract

We prove that, for any fixed potential V, there are plenty of full-dimensional KAM tori in infinite-dimensional Hamiltonian systems with short-range interactions.

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无外部参数的无限维哈密顿系统的全维KAM环的存在性

证明了在具有短程相互作用的无限维哈密顿系统中，对于任意固定势V，存在大量的全维KAM环面。

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

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.