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A coupling successive approximation method for solving Duffing equation and its application
Vietnam Journal of Mechanics, 2014 The paper proposes an algorithm to solve a general Duffing equation, in which a process of transforming the initial equation to a resulting equation is proposed, and then the coupling successive approximation method is applied to solve the resulting ...
Dao Huy Bich, Nguyen Dang Bich
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On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation [PDF]
, 2016 The Duffing oscillator is probably the most popular example of a nonlinear oscillator in dynamics. Considering the case of softening Duffing oscillator with weak damping and harmonic excitation and performing standard methods like harmonic balance or ...
Lentz, Lukas, Wagner, Utz von
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Biocatalytic Regioselective C‐Formylation of Resorcinol Derivatives
Angewandte Chemie, EarlyView.An acyltransferase from Chromobacterium sphagni (CsATase) was identified that catalyzes the regioselective formylation of resorcinol substrates. The formylation of substituted resorcinol derivatives yielded mono‐formylated products with up to 99% conversion and up to 74% isolated yield.
Lilla Gal +6 more
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Chaos Generation Using BJT's and PLL's
Active and Passive Electronic Components, 2000 There are several simple equations which can be used to generate chaotic waveforms. We present two such equations, called the Duffing equation and the Ueda equation.
Umesh Kumar
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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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Adapted block hybrid method for the numerical solution of Duffing equations and related problems
AIMS Mathematics, 2021 Problems of non-linear equations to model real-life phenomena have a long history in science and engineering. One of the popular of such non-linear equations is the Duffing equation.
Ridwanulahi Iyanda Abdulganiy +4 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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Stability analysis of a noise-induced Hopf bifurcation [PDF]
, 2003 We study analytically and numerically the noise-induced transition between an absorbing and an oscillatory state in a Duffing oscillator subject to multiplicative, Gaussian white noise.
Mallick, Kirone, Marcq, Philippe
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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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