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Title: Power series approach to nonlinear oscillators
Authors: Abu-Asad, Ata
Asad, Jihad
Keywords: nonlinear differential equation;equilibrium (fixed point);limit cycle;stability;semistable;power series;simulation
Issue Date: 28-Jul-2023
Publisher: Journal of Low Frequency Noise, Vibration and Active Control
Series/Report no.: Journal of Low Frequency Noise, Vibration and Active Control;19
Abstract: In this article, we introduce a nonlinear oscillator equation containing two strong linear terms. An approximate solution was obtained using power series approach. Furthermore, by introducing a parameter to the original equation, we fined the fixed points of the modified nonlinear oscillator equation and study stability analysis of these fixed points. On the other hand, we simulate the solution of the nonlinear oscillator equation and introduced many plots for different initial conditions. Finally, we make some plots concerning the phase portrait for different cases.
metadata.dc.identifier.doi: 10.1177/14613484231188756
Appears in Collections:Sciences and Agricultural Technology Faculty

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