Results 71 to 80 of about 7,901 (195)
Analysis of a duffing oscillator that exhibits hysteresis with varying excitation frequency and amplitude [PDF]
, 2007 Hysteresis, or jump phenomenon, are a common and severe nonlinear behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution.
Billings, S.A., Li, L.M.
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Tension-induced non-linearities of flexural modes in nanomechanical resonators
, 2013 We consider the tension-induced non-linearities of mechanical resonators, and derive the Hamiltonian of the flexural modes up to the fourth order in the position operators. This tension can be controlled by a nearby gate voltage.
Heikkilä, T. T. +2 more
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Existence of periodic solutions of duffing equations
Journal of Differential Equations, 1989 As the authors point out in the Introduction ``The main motivation for thus study is a paper by \textit{P. Dràbek} and \textit{S. Invernizzi} [Nonlinear Anal., Theory Methods Appl. 10, 643-650 (1986; Zbl 0616.34010)]''. One studies the problem \(u''(t)+ku'(t)+g(t,u(t))=f(t),\) \(u(0)=u(2\pi)\), \(u'(0)=u'(2\pi)\). To quote again from the Introduction ``
Habets, Patrick, Metzen, Gerhard
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Variational calculation of the period of nonlinear oscillators
, 2004 The problem of calculating the period of second order nonlinear autonomous oscillators is formulated as an eigenvalue problem. We show that the period can be obtained from two integral variational principles dual to each other.
Benguria, R. D., Depassier, M. C.
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Nonlinear-damped Duffing oscillators having finite time dynamics
, 2014 A class of modified Duffing oscillator differential equations, having nonlinear damping forces, are shown to have finite time dynamics, i.e., the solutions oscillate with only a finite number of cycles, and, thereafter, the motion is zero.
Bullock, Ray +3 more
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Chaos of the Relativistic Parametrically Forced van der Pol Oscillator
, 1998 A manifestly relativistically covariant form of the van der Pol oscillator in 1+1 dimensions is studied. We show that the driven relativistic equations, for which $x$ and $t$ are coupled, relax very quickly to a pair of identical decoupled equations, due
Bogoliuboff +24 more
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An improved Mickens’ solution for nonlinear vibrations
Alexandria Engineering JournalThe Duffing equation and other nonlinear equations of motion of nonlinear vibrations are widely applied in the fields of engineering and science, especially mechanical and electrical engineering.
M.M. Ayub Hossain, B.M. Ikramul Haque
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Journal of Applied Mathematics, 2012 Accurate approximate closed-form solutions for the cubic-quintic Duffing oscillator are obtained in terms of elementary functions. To do this, we use the previous results obtained using a cubication method in which the restoring force is expanded in ...
A. Beléndez +6 more
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Modified Legendre Wavelets Technique for Fractional Oscillation Equations
Entropy, 2015 Physical Phenomena’s located around us are primarily nonlinear in nature and their solutions are of highest significance for scientists and engineers.
Syed Tauseef Mohyud-Din +2 more
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Analysis of nonlinear oscillators using volterra series in the frequency domain Part I : convergence limits [PDF]
, 2009 The Volterra series representation is a direct generalisation of the linear convolution integral and has been widely applied in the analysis and design of nonlinear systems, both in the time and the frequency domain.
Billings, S.A., Li, L.M.
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