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Quasiperiodic Route to Chaos for the Dust Ion Acoustic Waves in Magnetized Dusty Plasmas

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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 (νid0) 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 (νid0) plays the role of switching parameter from quasiperiodic motion to chaotic motion for the DIA waves.

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Authors and Affiliations

  1. Department of Mathematics, Siksha Bhavana, Visva Bharati University, 731235, Santiniketan, India

    L. Mandi, R. Ali & P. Chatterjee

  2. Department of Mathematics, Sikkim Manipal University, Sikkim Manipal Institute of Technology, Majitar, 737136, Rangpo, East-Sikkim, India

    R. Ali

  3. Department of Mathematics, Gushkara Mahavidyalaya, 713128, Guskhara, West Bengal, India

    L. Mandi

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  1. L. Mandi
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  2. R. Ali
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  3. P. Chatterjee
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Correspondence to L. Mandi, R. Ali or P. Chatterjee.

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Mandi, L., Ali, R. & Chatterjee, P. Quasiperiodic Route to Chaos for the Dust Ion Acoustic Waves in Magnetized Dusty Plasmas. Plasma Phys. Rep. 47, 419–426 (2021). https://doi.org/10.1134/S1063780X2105007X

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