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Title: Study of possible chaotic, quasi-periodic and periodic structures in quantum dusty plasma

Existence of chaotic, quasi-periodic, and periodic structures of dust-ion acoustic waves is studied in quantum dusty plasmas through dynamical system approach. A system of coupled differential equations is derived from the fluid model and subsequently, variational matrix is obtained. The characteristic equation is obtained at the equilibrium point, and the behavior of nonlinear waves is studied numerically using Runge-Kutta method. The behavior of the dynamical system changes significantly when any of plasma parameters, such as the dust concentration parameter, temperature ratio, or the quantum diffraction parameter, is varied. The change of the characteristic of solution of the system is extensively studied. It is found that the system changes its behavior from chaotic pattern to limit cycle behavior.
Authors:
 [1] ; ;  [2]
  1. Department of Mathematics, Kandara J. M. High School, Kandara, Burdwan, West Bengal-713129 (India)
  2. Department of Mathematics, Siksha Bhavana, Visva-Bharati, Santiniketan, West Bengal-731235 (India)
Publication Date:
OSTI Identifier:
22403305
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 11; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHAOS THEORY; DIFFERENTIAL EQUATIONS; DIFFRACTION; DUSTS; ION ACOUSTIC WAVES; LIMIT CYCLE; NONLINEAR PROBLEMS; RUNGE-KUTTA METHOD