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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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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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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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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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Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations [PDF]
, 2018 As the use of viscoelastic materials becomes increasingly popular, stability of viscoelastic structures under random loads becomes increasingly important.
Gu, J, Li, X, Ma, F, Xu, W
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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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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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Signatures of chaotic and non-chaotic-like behaviour in a non-linear quantum oscillator through photon detection [PDF]
, 2005 The driven non-linear duffing osillator is a very good, and standard, example of a quantum mechanical system from which classical-like orbits can be recovered from unravellings of the master equation.
A. R. Bulsara +11 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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