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1. The Duffing equation
: nonlinear oscillators and their behaviour
by Kovacic, Ivana, 1972 and Brennan, Michael J. 1956- (Michael John)
2011, 1. Aufl., ISBN 9780470977859, xvi, 369
Duffing equations | Nonlinear oscillators | Mathematical models
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2. Full Text Modified method of simplest equation for obtaining exact solutions of the Zakharov–Kuznetsov equation, the modified Zakharov–Kuznetsov equation, and their generalized forms
by Yu, Jianping and Wang, Deng-Shan and Sun, Yongli and Wu, Suping
Nonlinear dynamics, ISSN 0924-090X, 9/2016, Volume 85, Issue 4, pp. 2449 - 2465
Engineering | Vibration, Dynamical Systems, Control | Modified Zakharov–Kuznetsov equation | Modified method of simplest equation | Exact solutions | Mechanics | Automotive Engineering | Zakharov–Kuznetsov equation | Mechanical Engineering | Technology | Engineering, Mechanical | Science & Technology | Information science | Methods | Traveling waves | Nonlinear equations | Partial differential equations | Mathematical analysis | Nonlinear differential equations
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3. Introduction to perturbation techniques
by Nayfeh, Ali Hasan
1981, ISBN 0471080330, xiv, 519
Perturbation (Mathematics) | Numerical solutions | Equations | Differential equations
Book
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4. Full Text On multivalued Duffing equation
by Kalita, Piotr and Kowalski, Piotr M
Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2018, Volume 462, Issue 2, pp. 1130 - 1147
Differential inclusion | Kakutani–Ky Fan–Glicksberg fixed point theorem | Duffing equation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Computer science | Differential equations
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5. Full Text Lagrange stability for impulsive Duffing equations
by Shen, Jianhua and Chen, Lu and Yuan, Xiaoping
Journal of Differential Equations, ISSN 0022-0396, 05/2019, Volume 266, Issue 11, pp. 6924 - 6962
Quasi-periodic solution | Impulsive Duffing equation | Moser's twist theorem | Lagrange stability | Physical Sciences | Mathematics | Science & Technology
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6. Full Text Sine‐cosine wavelet method for fractional oscillator equations
by Saeed, Amir and Saeed, Umer
Mathematical methods in the applied sciences, ISSN 0170-4214, 12/2019, Volume 42, Issue 18, pp. 6960 - 6971
Duffing oscillator | Duffing‐Van der Pol oscillator | Picard technique | operational matrices | sine‐cosine wavelets | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinear equations | Algebra | Perturbation methods | Differential equations | Wavelet analysis | Iterative methods | Trigonometric functions | Matrix methods | Cybernetics
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7. Full Text Application of first integral method to fractional partial differential equations
by Eslami, M and Eslami, M and Fathi Vajargah, B and Fathi Vajargah, B and Mirzazadeh, M and Mirzazadeh, M and Biswas, A and Biswas, A
Indian journal of physics, ISSN 0973-1458, 2/2014, Volume 88, Issue 2, pp. 177 - 184
Physics, general | Astrophysics and Astroparticles | Fractional generalized reaction duffing model | First integral method | Physics | Solitons | Partial differential equations | Fractions
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8. Full Text Long-Term Dynamics of Autonomous Fractional Differential Equations
by Liu, Tao and Xu, Wei and Xu, Yong and Han, Qun
International journal of bifurcation and chaos in applied sciences and engineering, ISSN 0218-1274, 04/2016, Volume 26, Issue 4, p. 1650055
Fractional differential equation | attractor | fractional van der Pol oscillator | fractional Lotka-Volterra equation | long-term dynamic | basin of attraction | fractional Duffing equation | Mathematics, Interdisciplinary Applications | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Mathematics | Science & Technology | Differential equations | Mathematical analysis | Numerical methods | Saddles | Duffing equation | Volterra integral equations | Cell mapping method | System effectiveness
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9. Full Text New complex waves of perturbed Shrödinger equation with Kerr law nonlinearity and Kundu-Mukherjee-Naskar equation
by Jhangeer, Adil and Seadawy, Aly R and Ali, Faiqa and Ahmed, Abbirah
Results in physics, ISSN 2211-3797, 03/2020, Volume 16, p. 102816
Kundu-Mukherjee-Naskar equation | Cubic Duffing equation | New extended algebraic method | Shrödinger’s equation | Physical Sciences | Materials Science | Technology | Materials Science, Multidisciplinary | Physics, Multidisciplinary | Physics | Science & Technology
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10. Full Text Periodic solutions of discontinuous damped Duffing equations
by Jiang, Fangfang and Ji, Zhicheng and Wang, Yan
Nonlinear analysis: real world applications, ISSN 1468-1218, 06/2019, Volume 47, pp. 484 - 495
Damping | Discontinuity | Harmonic and subharmonic solutions | Poincaré–Bohl theorem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinear equations | Duffing equation | Existence theorems
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11. Full Text Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion
by Heydari, M.H and Avazzadeh, Z and Mahmoudi, M.R
Chaos, solitons and fractals, ISSN 0960-0779, 07/2019, Volume 124, pp. 105 - 124
Chebyshev cardinal wavelets (CCWs) | Variable-order fractional Brownian motion (V-Ofbm) | Stochastic Brusselator problem | Stochastic Lotka–Volterra system | Stochastic differential equations (SDEs) | Stochastic pendulum model | Stochastic Duffing-Van der Pol oscillator problem | Mathematics, Interdisciplinary Applications | Physical Sciences | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Physics | Science & Technology
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12. Full Text Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology
by Kumar, Dipankar and Seadawy, Aly R and Joardar, Atish Kumar
Chinese journal of physics (Taipei), ISSN 0577-9073, 02/2018, Volume 56, Issue 1, pp. 75 - 85
Fractional generalized reaction duffing equations | Exact solutions | Fractional biological population model | Fractional diffusion-reaction equation | Modified Kudryashov method | Conformable derivative | Symbolic computation | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology
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13. Full Text Periodic Solutions of Discontinuous Duffing Equations
by Jiang, Fangfang
Qualitative theory of dynamical systems, ISSN 1575-5460, 12/2020, Volume 19, Issue 3
Discontinuity | Poincaré-Birkhoff theorem, multiplicity | Duffing equation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematical analysis
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14. Full Text Exact Solutions and Integrability of the Duffing – Van der Pol Equation
by Kudryashov, Nikolay A
Regular & chaotic dynamics, ISSN 1560-3547, 7/2018, Volume 23, Issue 4, pp. 471 - 479
Painlevé test | exact solution | singular manifold | truncated expansion | Duffing–Van der Pol oscillator | general solution | 34M25 | Mathematics | Dynamical Systems and Ergodic Theory | Physical Sciences | Technology | Physics, Mathematical | Mechanics | Mathematics, Applied | Physics | Science & Technology | Research | Differential equations, Nonlinear | Integrals | Mathematical research | Economic models | Nonlinear equations | Parameters | Nonlinear differential equations | Exact solutions | Ordinary differential equations
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