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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Energy Partition Oscillator and Necessary and Sufficient Conditions of Energy Localization
MATEC Web of Conferences, 2012 A strongly nonlinear conservative oscillator describing the dynamics of energy partition between two identical linearly coupled Duffing oscillators is introduced and analyzed.
Pilipchuk V.N.
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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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Communications, 2013 The study in this paper is focused on the applications of the chaotic Duffing oscillator to signal masking communication scheme. Using the concept of synchronized chaotic systems the signal masking approach is demonstrated with the Duffing oscillator ...
Galina Cherneva, Elena Dimkina
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Dynamic Analysis of Modified Duffing System via Intermittent External Force and Its Application
Applied Sciences, 2019 Over the past century, a tremendous amount of work on the Duffing system has been done with continuous external force, including analytical and numerical solution methods, and the dynamic behavior of physical systems.
Jianbin He, Jianping Cai
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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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Bifurcations, Chaos, Controlling and Synchronization of Certain Nonlinear Oscillators [PDF]
, 1997 In this set of lectures, we review briefly some of the recent developments in the study of the chaotic dynamics of nonlinear oscillators, particularly of damped and driven type.
A. J. Lichtenberg +21 more
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The dissipative quantum Duffing oscillator: a comparison of Floquet-based approaches
, 2010 We study the dissipative quantum Duffing oscillator in the deep quantum regime with two different approaches: The first is based on the exact Floquet states of the linear oscillator and the nonlinearity is treated perturbatively.
Almog +46 more
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Duffing Oscillator and Elliptic Curve Cryptography [PDF]
Nelineinaya Dinamika, 2018 7 pages, LaTeX with AMS ...
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Sparse Identification of Nonlinear Duffing Oscillator From Measurement Data
, 2018 In this paper we aim to apply an adaptation of the recently developed technique of sparse identification of nonlinear dynamical systems on a Duffing experimental setup with cubic feedback of the output.
Crevecoeur, Guillaume +4 more
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