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In search of hyperchaos in a high dimensional unmagnetized quantum plasma
Zeitschrift für Naturforschung A ( IF 1.8 ) Pub Date : 2021-02-23 , DOI: 10.1515/zna-2020-0205
Laxmikanta Mandi 1, 2 , Hayder Natiq 3 , Prasanta Chatterjee 1 , Rustam Ali 1, 4 , Santo Banerjee 5
Affiliation  

Abstract The hyperchaos and multistability of electron acoustic waves in a quantum plasma model comprising of nondegenerate cold and degenerate hot electrons and stationary ions are investigated. A six-dimensional dynamical system is constructed from the fluid equations of the model considering traveling wave transformation. The stability analysis of the system is done by finding out the equilibria in the inertia frame. It is interesting to investigate that though the novel system is conservative, it can produce hyperchaos for a set of associated parameters. We have also reported the coexistence of many hyperchaotic attractors as the system is extremely sensitive to the initials. The signature of hyperchaos and coexisting hyperchaos in a conservative quantum plasma system has never been reported before.

中文翻译:

在高维未磁化量子等离子体中寻找超混沌

摘要 研究了由非简并冷电子和简并热电子和静止离子组成的量子等离子体模型中电子声波的超混沌和多重稳定性。从考虑行波变换的模型的流体方程构建六维动力系统。系统的稳定性分析是通过找出惯性系中的平衡点来完成的。有趣的是,尽管新系统是保守的,但它可以为一组相关参数产生超混沌。我们还报告了许多超混沌吸引子的共存,因为该系统对首字母非常敏感。以前从未报道过保守量子等离子体系统中超混沌和共存超混沌的特征。
更新日期:2021-02-23
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