Horseshoes for Singly Thermostated Hamiltonians

被引：1
|
作者：
Butler, Leo T. [1 ]
机构：
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
来源：
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2020年 / 19卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
thermostats; Nose-Hoover thermostat; Hamiltonian mechanics; transverse homoclinic points; horseshoes; MOLECULAR-DYNAMICS; CANONICAL ENSEMBLES; SIMULATIONS; NONERGODICITY; FORMULATION; SYSTEMS; ORBITS;
D O I：
10.1137/20M1315063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note studies 1 and 2 degrees of freedom Hamiltonian systems that are thermostated by a single-variable thermostat. It provides concrete examples of integrable Hamiltonians and single thermostats, including the Nose-Hoover thermostat, where the existence of a horseshoe in the flow of the thermostated system is proven.
引用
收藏
页码：2268 / 2285
页数：18
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