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arXiv 1002.3300physics.plasm-ph
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等离子体一维量子Zakharov方程的时间动力学

Temporal dynamics in the one-dimensional quantum Zakharov equations for plasmas

A. P. Misra, S. Banerjee, F. Haas, P. K. Shukla, L. P. G. Assis

摘要:

通过将量子朗缪尔波(QLWs)和量子离子声波(QIAWs)的解视为傅立叶空间中三个相互作用波模的叠加,重新研究了一维空间中量子Zakharov方程(QZEs)的时间动力学.对文献中已有的结果进行了修正和修正。通过李雅普诺夫指数谱和功率谱的分析,确定了傅里叶模振幅的周期、混沌和超混沌行为。通过单参数分岔分析,解释了系统通向混沌的周期性途径。该系统被证明是不稳定的,通过超临界Hopf分岔。从可积性的角度比较了完全时空系统和约化系统的绝热极限。

英文摘要:

The temporal dynamics of the quantum Zakharov equations (QZEs) in one spatial dimension, which describes the nonlinear interaction of quantum Langmuir waves (QLWs) and quantum ion-acoustic waves (QIAWs) is revisited by considering their solution as a superposition of three interacting wave modes in Fourier space. Previous results in the literature are modified and rectified. Periodic, chaotic as well as hyperchaotic behaviors of the Fourier-mode amplitudes are identified by the analysis of Lyapunov exponent spectra and the power spectrum. The periodic route to chaos is explained through an one-parameter bifurcation analysis. The system is shown to be destabilized via a supercritical Hopf-bifurcation. The adiabatic limits of the fully spatio-temporal and reduced systems are compared from the viewpoint of integrability properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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