On the periodic solutions of the nonlinear oscillators

被引：0

作者：

Ebaid, Abdelhalim ^{[1
]}

Momani, Shaher ^{[2
]}

Chang, Shih-Hsiang ^{[3
]}

Aljoufi, Mona D. ^{[1
]}

机构：

[1] Univ Tabuk, Fac Sci, Dept Math, Tabuk 71491, Saudi Arabia

[2] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

[3] Far East Univ, Dept Mech Engn, Tainan 74448, Taiwan

来源：

JOURNAL OF VIBROENGINEERING | 2014年 / 16卷 / 01期

关键词：

nonlinear oscillators; periodic solutions; differential transformation method; Cosine-aftertreatment technique; BOUNDARY-VALUE-PROBLEMS; 2-DIMENSIONAL DIFFERENTIAL TRANSFORM; EQUATIONS; BEAMS;

D O I：

暂无

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

In this paper, a new approach is introduced to overcome the difficulty of applying the differential transformation method to the nonlinear oscillators described by (x) over dot (t) + f(x, (x) over dot (t), vertical bar x(t)vertical bar)= 0. The obtained approximate periodic solutions are compared with those in open literatures and the results reveal that the present approach is very effective and convenient for a class of nonlinear oscillators with discontinuities.

引用

页码：1 / 14

页数：14

共 50 条

[31] A simple algorithm for testing the stability of periodic solutions of some nonlinear oscillators with large time delay
Li JunYu
Zhang Li
Wang ZaiHua
SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2011, 54 (08) : 2033 - 2043
[32] Periodic solutions of forced isochronous oscillators at resonance
Bonheure, D
Fabry, C
Smets, D
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2002, 8 (04) : 907 - 930
[33] A simple algorithm for testing the stability of periodic solutions of some nonlinear oscillators with large time delay
LI JunYu 1
2 Institute of Mathematics
Science China(Technological Sciences), 2011, (08) : 2033 - 2043
[34] Quasi-periodic solutions and periodic bursters in quasiperiodically driven oscillators
Lakrad, Faouzi
Belhaq, Mohamed
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) : 2426 - 2433
[35] AVERAGING METHOD FOR STRONGLY NONLINEAR OSCILLATORS WITH PERIODIC EXCITATIONS
ROY, RV
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1994, 29 (05) : 737 - 753
[36] Solution to the periodic vibration of strongly nonlinear symmetric oscillators
Huang, Cheng-Biao
Jin, Xiang-Peng
Wu, Hua-Dong
Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, 2002, 41 (01):
[37] Type I periodic motions for nonlinear impact oscillators
Du, Zhengdong
Li, Yurong
Zhang, Weinian
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (05) : 1344 - 1358
[38] Periodic solutions of non-smooth friction oscillators
Bothe, D
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1999, 50 (05): : 779 - 808
[39] Periodic solutions of non-smooth friction oscillators
D. Bothe
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1999, 50 : 779 - 808
[40] Periodic Solutions and Chaotic Dynamics in Forced Impact Oscillators
Ruiz-Herrera, Alfonso
Torres, Pedro J.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2013, 12 (01): : 383 - 414

← 1 2 3 4 5 →