On the chaotic dynamics of a modified Nose-Hoover oscillator

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.918515

B. Deng, Jorge Duarte, C. Januário, N. Martins

引用次数: 0

Abstract

This article reports on a study of the two-dimensional parameter space of a generalized time-reversible Nos´e-Hoover oscillator. Instead of considering its original form, whose study of the one-dimensional parameter space has recently received new insights, we examine the Nos´e-Hoover model slightly modiﬁed by using a new parameter (cid:15) to introduce a dissipative term to its energizing-damping variable. We use the maximum Lyapunov exponent to numerically characterize the chaotic dynamics of the model, at representative points of the two-dimensional parameter space, treating separately two dynamical regimes resulting from: (i) the eﬀect of lower values of (cid:15) and (ii) the eﬀect of higher values of (cid:15) . It is shown that, for higher values of the new dissipative parameter (cid:15) , the existence of chaotic behavior only prevails for the backwards dynamics.

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改进Nose-Hoover振荡器的混沌动力学

本文研究了广义时可逆的no ' e-Hoover振子的二维参数空间。与其考虑其原始形式(其对一维参数空间的研究最近获得了新的见解)，我们研究了Nos ' e-Hoover模型，该模型通过使用一个新参数(cid:15)对其能量-阻尼变量引入耗散项进行了稍微修改。我们使用最大Lyapunov指数在二维参数空间的代表性点上对模型的混沌动力学进行数值表征，分别处理由:(i)较低值(cid:15)的影响和(ii)较高值(cid:15)的影响引起的两种动态状态。结果表明，当新的耗散参数值较大时(cid:15)，混沌行为只存在于反向动力学中。

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

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

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