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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
3,961
Downloads
5,998
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
7,914
Downloads
10,523
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
1,207
Downloads
3,983
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
2,630
Downloads
5,580
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
4,201
Downloads
5,549
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
61
Downloads
224
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
4,630
Downloads
6,688
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
401
Downloads
1,133
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
3,187
Downloads
5,458
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
6,474
Downloads
8,115
Views
Citations
Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators
(Articles)
Taher A. Nofal
,
Gamal M. Ismail
,
Amal Ali M. Mady
,
Sayed Abdel-Khalek
Journal of Electromagnetic Analysis and Applications
Vol.5 No.10
,October 29, 2013
DOI:
10.4236/jemaa.2013.510061
3,786
Downloads
5,939
Views
Citations
Numerical Solution of Fractional Differential Equations
(Articles)
Adnan Daraghmeh
,
Naji Qatanani
,
Aya Saadeh
Applied Mathematics
Vol.11 No.11
,November 13, 2020
DOI:
10.4236/am.2020.1111074
1,541
Downloads
7,913
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
4,657
Downloads
7,269
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
725
Downloads
1,674
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
838
Downloads
2,511
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
658
Downloads
3,094
Views
Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders
(Articles)
Fatheah Alhendi
,
Wafa Shammakh
,
Hind Al-Badrani
Open Journal of Applied Sciences
Vol.7 No.4
,April 30, 2017
DOI:
10.4236/ojapps.2017.74014
1,751
Downloads
3,619
Views
Citations
Homotopy Analysis Method for Large-Amplitude Free Vibrations of Strongly Nonlinear Generalized Duffing Oscillators
(Articles)
Youhua Qian
,
Dongxu Ren
,
Shengmin Chen
,
Lin Ping
Modern Mechanical Engineering
Vol.2 No.4
,November 30, 2012
DOI:
10.4236/mme.2012.24022
4,226
Downloads
8,165
Views
Citations
The Solutions for the Eco-Epidemic Model with Homotopy Analysis Method
(Articles)
Xiurong Chen
Engineering
Vol.5 No.10B
,December 17, 2013
DOI:
10.4236/eng.2013.510B091
3,949
Downloads
5,477
Views
Citations
Decrease of the Penalty Parameter in Differentiable Penalty Function Methods
(Articles)
Roohollah Aliakbari Shandiz
,
Emran Tohidi
Theoretical Economics Letters
Vol.1 No.1
,June 1, 2011
DOI:
10.4236/tel.2011.11003
3,941
Downloads
8,854
Views
Citations
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