Theoretical modeling of radiation-driven plasma turbulence in an unmagnetized plasma

Li, L. H.; Matsuoka, M.

doi:10.1007/bf02121466

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…The two-fluid model which treats the plasma as two inter penetrating conducting fluids has been source of growing interest for researchers for many years (Keen et al, 1972;1971;Li and Matsuoka, 1996). Nowadays, it remains an interesting task due to its potential applications (Loverich and Shumlak, 2006;Bhattacharyya and Janaki, 2006;Shumlak and Loverich, 2003;Kanki et al, 2006;Arshad et al, 1999).…”

Section: Equation Of Motion and Amplitude Of The Forced Harmonic Oscimentioning

confidence: 99%

Hysteresis, resonant oscillations and bifurcation mode of a system modeled by a forced modified Van der Pol-Duffing oscillator

Monwanou¹,

Hinvi²,

Miwadinou³

et al. 2017

American Journal of Engineering and Applied Sciences

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Nonlinear oscillations and its applications in physics, chemistry, engineering, biophysics, communications are studied with some analytical, numerical and experimental methods. In the present paper, hysteresis, resonant oscillations and bifurcation mode of a system modeled by a forced modified Van der Pol-Duffing oscillator are considered. The plasma oscillations are considered and are described by a nonlinear differential equation. By using the harmonic balance technique and the multiple time scales methods, the amplitudes of the forced harmonic, superharmonic and subharmonic oscillatory states are obtained. Then, we derived admissible values of the amplitude of the external strength. Some bifurcation structures and transition to chaos of the model have been investigated. The model presented several dynamics motions which are influenced by nonlinear parameters. It can be concluded that the nonlinear parameters have a real impact on the dynamics of the model.

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Section: Equation Of Motion and Amplitude Of The Forced Harmonic Oscimentioning

confidence: 99%

Hysteresis, resonant oscillations and bifurcation mode of a system modeled by a forced modified Van der Pol-Duffing oscillator

Monwanou¹,

Hinvi²,

Miwadinou³

et al. 2017

American Journal of Engineering and Applied Sciences

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Nonlinear dynamics of plasma oscillations modeled by an anharmonic oscillator

et al. 2008

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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 ẍ + ͑1+x 2 ͒ẋ + x + x 2 + ␦x 3 = F cos ⍀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.

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Theoretical modeling of radiation-driven plasma turbulence in an unmagnetized plasma

Cited by 2 publications

References 13 publications

Hysteresis, resonant oscillations and bifurcation mode of a system modeled by a forced modified Van der Pol-Duffing oscillator

Hysteresis, resonant oscillations and bifurcation mode of a system modeled by a forced modified Van der Pol-Duffing oscillator

Nonlinear dynamics of plasma oscillations modeled by an anharmonic oscillator

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