Global analysis of a generalized Nose-Hoover oscillator

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:464

Article

Wang, Lei¹  Yang, Xiao-Song² 

[1] Hefei Univ, Dept Math & Phys, Hefei 230601, Anhui, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

关键词: Chaos;    Generalized Nose Hoover oscillator;    Invariant manifold;    omega-limiting point;    Trajectory;   

DOI  :  10.1016/j.jmaa.2018.04.013

来源: Elsevier

【 摘 要 】

In this study, the generalized Nose Hoover oscillator is analyzed rigorously. We show that all trajectories not belonging to the two one-dimensional invariant manifolds (one is a straight line and the other is a unit circle) must traverse a two-dimensional unit disk infinitely many times transversally along the same direction in the state space. Consequently, all of the trajectories not located in the straight line invariant manifold have at least one omega-limiting point. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free