Nonlinear dynamics of plasma oscillations modeled by an anharmonic oscillator

Journal Article · Sat Mar 15 00:00:00 EDT 2008 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2841032· OSTI ID:21106163

Enjieu Kadji, H G ^[1]; Nana Nbendjo, B R ^[2]; Chabi Orou, J B ^[1]; Talla, P K ^[3]

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1. Institut de Mathematiques et de Sciences Physiques, B.P. 613, Porto-Novo (Benin)
2. Laboratory of Modelling and Simulation in Engineering and Biological Physics, Faculty of Science, University of Yaounde I, Box 812, Yaounde (Cameroon)
3. Faculty of Sciences, University of Dschang, Box 67, Dschang (Cameroon)

This paper considers nonlinear dynamics of plasma oscillations modeled by an anharmonic oscillator. These plasma oscillations are described by a nonlinear differential equation of the form xe+{epsilon}(1+x{sup 2})x+x+{kappa}x{sup 2}+{delta}x{sup 3}=F cos {omega}t. The amplitudes of the forced harmonic, superharmonic, and subharmonic oscillatory states are obtained using the harmonic balance technique and the multiple time scales method. Admissible values of the amplitude of the external strength are derived. Bifurcation sequences displayed by the model for each type of oscillatory states are performed numerically through the fourth-order Runge-Kutta scheme.

• OSTI ID: 21106163
• Journal Information: Physics of Plasmas, Vol. 15, Issue 3; Other Information: DOI: 10.1063/1.2841032; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMPLITUDES
ANHARMONIC OSCILLATORS
BIFURCATION
DIFFERENTIAL EQUATIONS
HARMONIC OSCILLATORS
NONLINEAR PROBLEMS
PLASMA WAVES
RUNGE-KUTTA METHOD