Abstract
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.
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