Abstract

Quasiperiodic and chaotic features of the dust ion acoustic (DIA) waves in a magnetized dusty plasma is studied. Reductive perturbation technique (RPT) is used to derive the damped forced Kadomtsev–Petviashvili (KP) equation. The effect of the dust ion collisional frequency (ν_id0) on the quasiperiodic and chaotic motion of the DIA waves is studied. It is observed that in absence of dust–ion collisions, the DIA waves exhibit quasiperiodic behavior and the motion becomes chaotic while the dust–ion collisions are taken into consideration. Thus, the dust–ion collisional frequency (ν_id0) plays the role of switching parameter from quasiperiodic motion to chaotic motion for the DIA waves.

中文翻译：

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磁化尘埃等离子体中尘埃离子声波的准周期混沌路径

摘要

研究了磁化尘埃等离子体中尘埃离子声波 (DIA) 的准周期和混沌特征。还原微扰技术 (RPT) 用于推导阻尼受迫 Kadomtsev-Petviashvili (KP) 方程。研究了尘埃离子碰撞频率（ν _{id 0}）对DIA波准周期和混沌运动的影响。观察到在没有尘埃离子碰撞的情况下，DIA 波表现出准周期行为，并且在考虑尘埃离子碰撞的情况下，运动变得混乱。因此，尘埃离子碰撞频率 (ν _{id 0} ) 起着将 DIA 波从准周期运动转换为混沌运动的参数的作用。