The European Physical Journal D ( IF 1.5 ) Pub Date : 2021-07-16 , DOI: 10.1140/epjd/s10053-021-00220-6 N. Athavan 1 , C. Selvaraju 1
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Abstract
The occurrence of Hamiltonian chaos in the system of hydrogen molecular ion placed in external magnetic field has been investigated by using electronic trajectory plot, Poincare surface of section and maximal Lyapunov exponent. Our analysis reveals that the underlying dynamics of this system is very much sensitive to the magnetic field. The numerical calculations show that the regular dynamics in the field free case begins to deviate, with the addition of the external magnetic field, and shows chaotic character for certain field strengths. Moreover, a gradual increase in the strength of the magnetic field makes the system to posses chaos–order–chaos type of regions. When the magnetic field is very large, we have observed that the entire phase space has been occupied by chaotic trajectories.
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中文翻译：
外磁场中氢分子离子的混沌-有序-混沌型跃迁
摘要
利用电子轨迹图、截面庞加莱面和最大李雅普诺夫指数研究了氢分子离子置于外磁场系统中哈密顿混沌的发生。我们的分析表明，该系统的潜在动力学对磁场非常敏感。数值计算表明，随着外加磁场的增加，无场情况下的规律动力学开始偏离，并在一定场强下表现出混沌特性。此外，磁场强度的逐渐增加使系统具有混沌-有序-混沌类型的区域。当磁场非常大时，我们观察到整个相空间已被混沌轨迹占据。
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