Power series approach to nonlinear oscillators

被引：2

作者：

As'ad, Ata Abu ^{[1
]}

Asad, Jihad ^{[2
,3
]}

机构：

[1] Palestine Tech Univ Kadoorie, Dept Appl Math, Tulkarm, Palestine

[2] Palestine Tech Univ Kadoorie, Dept Phys, Tulkarm, Palestine

[3] Palestine Tech Univ Kadoorie, POB 7, Tulkarm 305, Palestine

来源：

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2024年 / 43卷 / 01期

关键词：

nonlinear differential equation; equilibrium (fixed point); limit cycle; stability; semistable power series; simulation; ENERGY-BALANCE; HAMILTONIAN APPROACH; VARIATIONAL APPROACH; VIBRATIONS; SYSTEM; MOTION;

D O I：

10.1177/14613484231188756

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

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.

引用

页码：220 / 238

页数：19

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