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

[41] Precise periodic solutions and uniqueness of periodic solutions of some relative rotation nonlinear dynamic system
Wang Kun
Guan Xin-Ping
Qiao Jie-Min
ACTA PHYSICA SINICA, 2010, 59 (06) : 3648 - 3653
[42] Global bifurcation of periodic solutions in nonlinear evolution problems with periodic forcing
Rabier, Patrick J.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1709 - 1725
[43] Fredholm operators, evolution semigroups, and periodic solutions of nonlinear periodic systems
Miyazaki, Rinko
Kim, Dohan
Naito, Toshiki
Shin, Jong Son
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (11) : 4214 - 4247
[44] Collective dynamics of periodic nonlinear oscillators under simultaneous parametric and external excitations
Diala Bitar
Najib Kacem
Noureddine Bouhaddi
Manuel Collet
Nonlinear Dynamics, 2015, 82 : 749 - 766
[45] Periodic solution to nonlinear oscillators without artificial noises by the homotopy perturbation method
Wu, Yue
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) : 1433 - 1438
[46] SOLVABLE SYSTEMS OF ISOCHRONOUS, MULTI-PERIODIC OR ASYMPTOTICALLY ISOCHRONOUS NONLINEAR OSCILLATORS
Calogero, F.
Leyvraz, F.
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2010, 17 (01) : 111 - 120
[47] Solvable Systems of Isochronous, Multi-Periodic or Asymptotically Isochronous Nonlinear Oscillators
F. Calogero
F. Leyvraz
Journal of Nonlinear Mathematical Physics, 2010, 17 : 111 - 120
[48] Collective dynamics of periodic nonlinear oscillators under simultaneous parametric and external excitations
Bitar, Diala
Kacem, Najib
Bouhaddi, Noureddine
Collet, Manuel
NONLINEAR DYNAMICS, 2015, 82 (1-2) : 749 - 766
[49] Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight
Boscaggin, Alberto
Zanolin, Fabio
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (03) : 2900 - 2921
[50] Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation
Graef, John R.
Kong, Lingju
Liu, Xueyan
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2019, 27 (04) : 601 - 610

← 1 2 3 4 5 →