Duffing Equation - Articles - Scientific Research Publishing

Bifurcations and Chaos in the Duffing Equation with One Degenerate Saddle Point and Single External Forcing (Articles)

Zhiyang Yang, Tao Jiang

Journal of Applied Mathematics and Physics Vol.5 No.9，October 16, 2017

DOI: 10.4236/jamp.2017.59161 900 Downloads 1,992 Views Citations
A New Method for the Exact Solution of Duffing Equation (Articles)

Ossou Nazila Fred Nelson, Zheng Yu, Bambi Prince Dorian, Yuya Wang

Journal of Applied Mathematics and Physics Vol.6 No.12，December 31, 2018

DOI: 10.4236/jamp.2018.612225 913 Downloads 3,601 Views Citations
Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation (Articles)

Haiduke Sarafian

American Journal of Computational Mathematics Vol.8 No.3，September 29, 2018

DOI: 10.4236/ajcm.2018.83021 557 Downloads 1,035 Views Citations
Nonlinear Oscillations of a Magneto Static Spring-Mass (Articles)

Haiduke Sarafian

Journal of Electromagnetic Analysis and Applications Vol.3 No.5，May 23, 2011

DOI: 10.4236/jemaa.2011.35022 4,284 Downloads 8,436 Views Citations
Coupling Interactions and Trapped Effects for a Triple-Well Potential (Articles)

Sezgin Aydın, Mehmet Şimşek

Journal of Modern Physics Vol.2 No.8，August 31, 2011

DOI: 10.4236/jmp.2011.28106 4,720 Downloads 9,290 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 4,139 Downloads 7,929 Views Citations
A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem (Articles)

E. O. Eze, J. N. Ezeora, U. E. Obasi

Open Journal of Applied Sciences Vol.8 No.10，October 22, 2018

DOI: 10.4236/ojapps.2018.810036 770 Downloads 1,362 Views Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation (Articles)

Kelei Zhang, Zhenfeng Zhang, Tao Yuwen

Advances in Pure Mathematics Vol.12 No.7，July 28, 2022

DOI: 10.4236/apm.2022.127035 88 Downloads 421 Views Citations
Harmonic Solutions of Duffing Equation with Singularity via Time Map (Articles)

Jing Xia, Suwen Zheng, Baohong Lv, Caihong Shan

Applied Mathematics Vol.5 No.10，June 3, 2014

DOI: 10.4236/am.2014.510146 2,411 Downloads 3,381 Views Citations
On the Stability of Duffing Type Fractional Differential Equation with Cubic Nonlinearity (Articles)

Nnaji Daniel Ugochukwu, Makuochukwu Felix Oguagbaka, Ezenwobodo Somkene Samuel, Nnaemeka Stanley Aguegboh, Onyiaji Netochukwu Ebube

Open Access Library Journal Vol.7 No.5，May 7, 2020

DOI: 10.4236/oalib.1106184 311 Downloads 998 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 543 Downloads 2,444 Views Citations
Probabilistic Approach in the Investigation of the Dynamics of a Duffing Oscillator (Articles)

Jessé Rebello de Souza Junior, Claudio Gomes Fernandes

Applied Mathematics Vol.6 No.8，July 24, 2015

DOI: 10.4236/am.2015.68122 3,579 Downloads 4,099 Views Citations
Stability Analysis of Damped Cubic-Quintic Duffing Oscillator (Articles)

Moses O. Oyesanya, Joshua I. Nwamba

World Journal of Mechanics Vol.3 No.1，February 7, 2013

DOI: 10.4236/wjm.2013.31003 6,588 Downloads 11,600 Views Citations
Super-Twisting Control of the Duffing-Holmes Chaotic System (Articles)

Fayiz Abu Khadra

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.4，November 10, 2016

DOI: 10.4236/ijmnta.2016.54016 1,425 Downloads 2,406 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 2,471 Downloads 4,876 Views Citations
Stability Analysis of Periodic Solutions of Some Duffing’s Equations (Articles)

E. O. Eze, U. E. Obasi, E. U. Agwu

Open Journal of Applied Sciences Vol.9 No.4，April 23, 2019

DOI: 10.4236/ojapps.2019.94017 1,122 Downloads 2,458 Views Citations
The Selection of Proper Auxiliary Parameters in the Homotopy Analysis Method. A Case Study: Uniform Solutions of Undamped Duffing Equation (Articles)

Mustafa Turkyilmazoglu

Applied Mathematics Vol.2 No.6，June 22, 2011

DOI: 10.4236/am.2011.26105 6,892 Downloads 11,961 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 638 Downloads 1,373 Views Citations
Existence of Chaotic Phenomena in a Single-Well Duffing Oscillator under Parametric Excitations (Articles)

Everestus Obinwanne Eze, Okorafor Chinenye Goodluck, Ujumadu Rosary Ngozi, Toochukwu Ogbonnia Oko

World Journal of Mechanics Vol.9 No.4，April 25, 2019

DOI: 10.4236/wjm.2019.94005 658 Downloads 1,695 Views Citations
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations (Articles)

Amjed Zraiqat, Laith K. Al-Hwawcha

Applied Mathematics Vol.6 No.6，June 2, 2015

DOI: 10.4236/am.2015.66087 5,361 Downloads 8,969 Views Citations

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