Results 21 to 30 of about 7,901 (195)
Chaos and Relativistic Energy-Momentum of the Nonlinear Time Fractional Duffing Equation
Mathematical and Computational Applications, 2019 This paper studies the nonlinear fractional undamped Duffing equation. The Duffing equation is one of the fundamental equations in engineering. The geographical areas of this model represent chaos, relativistic energy-momentum, electrodynamics, and ...
Raghda A. M. Attia +2 more
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On multivalued Duffing equation
Journal of Mathematical Analysis and Applications, 2018 The authors consider boundary value problems for a Duffing-type differential equation with multivalued terms. Two problems are investigated: The first problem is to find \(x \in W^{2,1}\bigl((0,1)\bigr) \cap H^1_0\bigl((0,1)\bigr)\) such that \[ -x'' - r(t)x' + N_1(t,x) \ni f(t) \quad \text{a.e.
Piotr Kalita, Piotr M. Kowalski
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Background: On Georg Duffing and the Duffing Equation
, 2022 In this chapter a historical background to Duffing's work is given. In addition, his biography and bibliography are presented. The content of his famous book is described. The evolution of his work to the present day is also tracked. © 2011 John Wiley & Sons, Ltd. All rights reserved.
Kovacic, Ivana, Brennan, Michael J.
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A new approach for solving Duffing equations involving both integral and non-integral forcing terms
Ain Shams Engineering Journal, 2014 In this paper a Legendre wavelet operational matrix of derivative (LWOM) is used to solve the Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions.
S. Balaji
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Parameter switching in a generalized Duffing system: Finding the stable attractors [PDF]
, 2013 This paper presents a simple periodic parameter-switching method which can find any stable limit cycle that can be numerically approximated in a generalized Duffing system. In this method, the initial value problem of the system is numerically integrated
Danca, Marius-F., Lung, Nicolae
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An instrumental insight for a periodic solution of a fractal Mathieu–Duffing equation
Journal of Low Frequency Noise, Vibration and Active Control, 2023 The primary goal of the present study is to investigate how to obtain a periodic solution for a fractal Mathieu–Duffing oscillator. To achieve this, the fractal oscillator in the fractal space has been transformed into a damping Mathieu–Duffing equation ...
Yusry O El-Dib +2 more
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, 2007 We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions.
Chen, Hongbin, Li, Yi
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Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis [PDF]
, 2008 By using the Duffing oscillator as a case study, this paper shows that the harmonic components in the nonlinear system response to a sinusoidal input calculated using the Nonlinear Output Frequency Response Functions (NOFRFs) are one of the solutions ...
Billings, S.A. +3 more
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On the convergence of a coupling successive approximation method for solving Duffing equation
Vietnam Journal of Mechanics, 2014 General Duffing equations occur in many problems of Mechanics and Dynamics. These equations include nonlinear terms of second and third order, their coefficients are finite but not small parameters.
Dao Huy Bich, Nguyen Dang Bich
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Frontiers in Physics, 2023 The present work attracts attention to obtaining a new result of the periodic solution of a damped nonlinear Duffing oscillator and a damped Klein–Gordon equation.
Yusry O. El-Dib +2 more
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