Regular and chaotic behaviors of plasma oscillations modeled by a modified Duffing equation

Kadji HGE; Orou JBC; Woafo P

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Regular and chaotic behaviors of plasma oscillations modeled by a modified Duffing equation

机译：用修正的Duffing方程建模的等离子体振荡的规则和混沌行为

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The regular and chaotic behavior of plasma oscillations governed by a modified Duffing equation is studied. After establishing that equation and focusing on its quadratic and cubic nonlinearities, the harmonic balance method and the fourth-order Runge-Kutta algorithm are used to derive regular and chaotic motions, respectively. A strong chaotic behavior, exhibited by the system in that event when the system is subjected to an external periodic excitation is reported as the nonlinear quadratic term varies.

机译：研究了由修正的Duffing方程控制的等离子体振荡的规则和混沌行为。建立该方程并关注其二次和三次非线性之后，分别使用谐波平衡方法和四阶Runge-Kutta算法来导出规则运动和混沌运动。随着非线性二次项的变化，当系统受到外部周期性激励时，系统在这种情况下表现出的强烈混沌行为被报告。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2008年第2期|共7页
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Kadji HGE; Orou JBC; Woafo P;
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正文语种 eng
中图分类物理学;
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1. Regular and chaotic behaviors of plasma oscillations modeled by a modified Duffing equation [J] . Kadji HGE, Orou JBC, Woafo P Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2008,第2期

机译：用修正的Duffing方程建模的等离子体振荡的规则和混沌行为
2. Analysis of Multiresonance and Chaotic Behavior of the Polarization in Materials Modeled by a Duffing Equation with Multifrequency Excitations [J] . C. Ainamon, C. H. Miwadinou, A.V. Monwanou, Applied Physics Research . 2014,第6期

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3. Model reference control of regular and chaotic dynamics in the Duffing-Ueda oscillator [J] . Aguirre L.A., Billings S.A. IEEE Transactions on Circuits and Systems. 1 . 1994,第7期

机译：Duffing-Ueda振荡器中正则和混沌动力学的模型参考控制
4. Bifurcation phenomena and chaotic oscillations in a system described by the Duffing-Van der Pol's equation [C] . Yamaguchi, K., Shibayama, . 1990

机译：由Duffing-Van der Pol方程描述的系统中的分叉现象和混沌振动
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7. REGULAR AND CHAOTIC BEHAVIORS OF PLASMA OSCILLATIONS MODELED BY A MODIFIED DUFFING EQUATION [O] . H. G. Enjieu Kadji, J. B. Chabi Orou, P. Woafo 2005

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8. Steady Motions Exhibited by Duffing's Equation: A Picture Book of Regular and Chaotic Motions [R] . Ueda, Y. 1980

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Regular and chaotic behaviors of plasma oscillations modeled by a modified Duffing equation

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