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Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
Taher A. Nofal
,
Gamal M. Ismail
,
Sayed Abdel-Khalek
Journal of Modern Physics
Vol.4 No.11
,November 22, 2013
DOI:
10.4236/jmp.2013.411179
3,946
Downloads
5,944
Views
Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
T. A. Nofel
Applied Mathematics
Vol.5 No.6
,April 2, 2014
DOI:
10.4236/am.2014.56081
7,891
Downloads
10,447
Views
Citations
Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators
(Articles)
Mohammed Alghassab
,
Amr Mahmoud
,
Mohamed A. Zohdy
Int'l J. of Modern Nonlinear Theory and Application
Vol.6 No.1
,February 16, 2017
DOI:
10.4236/ijmnta.2017.61003
2,604
Downloads
5,491
Views
Citations
Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method
(Articles)
Md. Mamun-Ur-Rashid Khan
Journal of Applied Mathematics and Physics
Vol.7 No.1
,January 7, 2019
DOI:
10.4236/jamp.2019.71001
1,185
Downloads
3,854
Views
Citations
The Extended Non-Elementary Amplitude Functions as Solutions to the Damped Pendulum Equation, the Van der Pol Equation, the Damped Duffing Equation, the Lienard Equation and the Lorenz Equations
(Articles)
Magne Stensland
Journal of Applied Mathematics and Physics
Vol.11 No.11
,November 10, 2023
DOI:
10.4236/jamp.2023.1111218
54
Downloads
191
Views
Citations
Collective Behavior of a Ring of Van Der Pol Oscillators under Gaussian and Random Coupling Schemes
(Articles)
Miguel A. Barron
,
Dulce Y. Medina
,
Isaias Hilerio
Open Journal of Applied Sciences
Vol.4 No.7
,June 17, 2014
DOI:
10.4236/ojapps.2014.47036
4,184
Downloads
5,503
Views
Citations
Time Delay Induced Oscillation: An Example on a Class of
n
Coupled Van Der Pol Oscillators Model with Delays
(Articles)
Chunhua Feng
,
Carl S. Pettis
Applied Mathematics
Vol.3 No.6
,June 26, 2012
DOI:
10.4236/am.2012.36087
4,641
Downloads
7,233
Views
Citations
Active Control of Chaotic Oscillations in Nonlinear Chemical Dynamics
(Articles)
Dagbégnon Luc Olabodé
,
Batablinlè Lamboni
,
Jean Bio Chabi Orou
Journal of Applied Mathematics and Physics
Vol.7 No.3
,March 20, 2019
DOI:
10.4236/jamp.2019.73040
706
Downloads
1,628
Views
Citations
Solution of Stochastic Van der Pol Equation Using Spectral Decomposition Techniques
(Articles)
Maha Hamed
,
Ibrahim L. El-Kalla
,
Mohamed A. El-Beltagy
,
Beih S. El-desouky
Applied Mathematics
Vol.11 No.3
,March 13, 2020
DOI:
10.4236/am.2020.113016
802
Downloads
2,385
Views
Citations
Application of Stability Theory in Study of Local Dynamics of Nonlinear Systems
(Articles)
Tahmineh Azizi
,
Gabriel Kerr
Journal of Applied Mathematics and Physics
Vol.8 No.6
,June 23, 2020
DOI:
10.4236/jamp.2020.86089
632
Downloads
2,982
Views
Citations
On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method
(Articles)
S. Salman Nourazar
,
Mohsen Soori
,
Akbar Nazari-Golshan
Journal of Applied Mathematics and Physics
Vol.3 No.3
,March 23, 2015
DOI:
10.4236/jamp.2015.33042
4,619
Downloads
6,643
Views
Citations
New Fourth and Fifth-Order Iterative Methods for Solving Nonlinear Equations
(Articles)
Muhammad Saqib
,
Muhammad Iqbal
,
Shahid Ali
,
Tariq Ismaeel
Applied Mathematics
Vol.6 No.8
,July 14, 2015
DOI:
10.4236/am.2015.68114
4,613
Downloads
6,112
Views
Citations
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power
(Articles)
Huaxiong Chen
,
Yanyan Wang
Journal of Applied Mathematics and Physics
Vol.9 No.1
,January 6, 2021
DOI:
10.4236/jamp.2021.91004
384
Downloads
1,096
Views
Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations
(Articles)
Artion Kashuri
,
Akli Fundo
,
Matilda Kreku
Advances in Pure Mathematics
Vol.3 No.3
,May 8, 2013
DOI:
10.4236/apm.2013.33045
5,355
Downloads
10,939
Views
Citations
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods
(Articles)
Amnah S. Al-Johani
American Journal of Computational Mathematics
Vol.3 No.3
,August 14, 2013
DOI:
10.4236/ajcm.2013.33027
3,169
Downloads
5,412
Views
Citations
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
(Articles)
Fatheah Ahmed Hendi
,
Manal Mohamed Al-Qarni
Applied Mathematics
Vol.8 No.2
,February 28, 2017
DOI:
10.4236/am.2017.82017
6,455
Downloads
8,077
Views
Citations
Synchronization of Impulsive Real and Complex Van der Pol Oscillators
(Articles)
Ali Al-Qahtani
,
Houari B. Khenous
,
Shaban Aly
Applied Mathematics
Vol.6 No.6
,June 2, 2015
DOI:
10.4236/am.2015.66084
3,116
Downloads
4,035
Views
Citations
History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations
(Articles)
Agamenon R. E. Oliveira
Advances in Historical Studies
Vol.6 No.1
,March 21, 2017
DOI:
10.4236/ahs.2017.61003
2,296
Downloads
4,603
Views
Citations
Kinematics of a 2D Asymmetric Nonlinear Oscillator
(Articles)
Haiduke Sarafian
World Journal of Mechanics
Vol.4 No.6
,June 27, 2014
DOI:
10.4236/wjm.2014.46020
2,441
Downloads
3,450
Views
Citations
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with
L
1
-Data
(Articles)
Safimba Soma
,
Mohamed Bance
Journal of Applied Mathematics and Physics
Vol.11 No.12
,December 29, 2023
DOI:
10.4236/jamp.2023.1112261
64
Downloads
241
Views
Citations
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