Abstract Multistability and chaotic scenario of arbitrary amplitude ion-acoustic waves in a quantum plasma consisting of negative ions, positive ions and electrons are investigated. The normalized basic equations are transformed to a four dimensional conservative dynamical system by introducing a travelling wave variable. Stability of the fixed points for the corresponding linearized system is briefly examined. Chaotic and quasi-periodic features of the arbitrary amplitude ion-acoustic waves are discussed using effective tools, viz. phase orientations, time series graph and graphs of Lyapunov exponents. Multistability phenomena is established with the help of phase spaces, largest Lyapunov exponents and cross-section of basins of attraction. The chaotic phenomena is further verified by 0−1 test. Results of this study can be applied in understanding dynamical phenomena of arbitrary amplitude ion-acoustic waves in quantum pair-ion plasmas.

中文翻译：

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量子对离子等离子体中的多稳态和混沌场景

摘要 研究了由负离子、正离子和电子组成的量子等离子体中任意振幅离子声波的多稳态和混沌情形。通过引入行波变量，将归一化的基本方程转化为四维保守动力系统。简要检查了相应线性化系统的不动点的稳定性。使用有效的工具讨论了任意振幅离子声波的混沌和准周期特征，即。相位方向、时间序列图和李雅普诺夫指数图。多稳态现象是在相空间、最大李雅普诺夫指数和吸引力盆地横截面的帮助下建立的。混沌现象通过 0-1 测试进一步验证。