Abstract
The chaotic profile of dust grain dynamics associated with dust-acoustic oscillations in a dusty plasma is considered. The collective behaviour of the dust plasma component is described via a multi-fluid model, comprising Boltzmann distributed electrons and ions, as well as an equation of continuity possessing a source term for the dust grains, the dust momentum and Poisson's equations. A Van der Pol–Mathieu-type nonlinear ordinary differential equation for the dust grain density dynamics is derived. The dynamical system is cast into an autonomous form by employing an averaging method. Critical stability boundaries for a particular trivial solution of the governing equation with varying parameters are specified. The equation is analysed to determine the resonance region, and finally numerically solved by using a fourth-order Runge–Kutta method. The presence of chaotic limit cycles is pointed out.
Original language | English |
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Article number | F06 |
Pages (from-to) | F473-F481 |
Number of pages | 9 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 40 |
Issue number | 24 |
DOIs | |
Publication status | Published - 15 Jun 2007 |
ASJC Scopus subject areas
- Mathematical Physics
- Modelling and Simulation
- Statistics and Probability
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics