A Van der Pol-Mathieu equation for the dynamics of dust grain charge in dusty plasmas
Data(s) |
15/06/2007
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Resumo |
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. |
Identificador |
http://dx.doi.org/10.1088/1751-8113/40/24/F06 http://www.scopus.com/inward/record.url?scp=34250162470&partnerID=8YFLogxK |
Idioma(s) |
eng |
Direitos |
info:eu-repo/semantics/restrictedAccess |
Fonte |
Kourakis , I , Momeni , M , Moslehi-Fard , M & Shukla , P K 2007 , ' A Van der Pol-Mathieu equation for the dynamics of dust grain charge in dusty plasmas ' Journal of Physics A: Mathematical and Theoretical , vol 40 , no. 24 , F06 , pp. F473-F481 . DOI: 10.1088/1751-8113/40/24/F06 |
Palavras-Chave | #/dk/atira/pure/subjectarea/asjc/2600/2610 #Mathematical Physics #/dk/atira/pure/subjectarea/asjc/2600/2611 #Modelling and Simulation #/dk/atira/pure/subjectarea/asjc/2600/2613 #Statistics and Probability #/dk/atira/pure/subjectarea/asjc/3100 #Physics and Astronomy(all) #/dk/atira/pure/subjectarea/asjc/3100/3109 #Statistical and Nonlinear Physics |
Tipo |
article |