Results 31 to 40 of about 7,901 (195)
Dynamics of nearly unstable axisymmetric liquid bridges [PDF]
The dynamics of a noncylindrical, axisymmetric, marginally unstable liquid bridge between two equal disks is analyzed in the inviscid limit. The resulting model allows for the weakly nonlinear description of both the (first stage of) breakage for ...
Perales Perales, José Manuel +1 more
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The simplest approach to nonlinear oscillators
This paper gives the simplest approach to the cubic-quintic Duffing equation (M.S.H. Chowdhury et al., Results in Physics 7(2017): 3962–3967), providing an extremely fast and relatively accurate estimation of the frequency of a nonlinear conservative ...
Ji-Huan He
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In the present work, a new method for solving a strong nonlinear oscillator equation of the form ẍ + F(x) = 0, where F(−x) = −F(x), is carried out. This method consists of approximating function F(x) by means of a suitable Chebyshev polynomial: F(x) ≈ P(
Ma’mon Abu Hammad +2 more
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In this study, the nonlinear damping oscillations in a complex non-Maxwellian plasma are investigated. For this purpose, the set of fluid equations of the present plasma model is reduced to the Burger-modified Korteweg De Vries equation (BmKdV) equation ...
Noufe H Aljahdaly +4 more
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Chaotic Cipher Using the Duffing Equation
We propose a plain files cipher by means of a stream cryptosystem scheme with chaotic addition and a symmetric key. The sequence of numbers used for encryption is generated by a continuous chaotic dynamical system; in particular, we choose the forced Duffing equation since this kind of systems is sensitive to the initial conditions. In a chaotic system,
Roda, Fernando, Lara, Luis P.
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Stability analysis of a noise-induced Hopf bifurcation [PDF]
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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The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research.
Kovacic, Ivana, Brennan, Michael J.
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DELAY DIFFERENTIAL EQUATIONS AND THEIR APPLICATION TO MICRO ELECTRO MECHANICAL SYSTEMS [PDF]
Delay differential equations have a wide range of applications in engineering. This work is devoted to the analysis of delay Duffing equation, which plays a crucial role in modeling performance on demand Micro Electro Mechanical Systems (MEMS).
Ospanov, Asset
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Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations [PDF]
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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Semilinear Duffing Equations Crossing Resonance Points
Consider the Duffing equation \[ \ddot x+g(x)= p(t),\tag{\(*\)} \] where \(g,p\in C(\mathbb{R})\), \(q(0)=0\), \(p\) is \(2\pi\)-periodic, \(g\) is Lipschitzian and there exist two constants \(A_0>0\) and \(M_0>0\) such that \(x^{-1}g(x)\geq A_0\) for \(|x|> M_0\).
Dunyuan, Hao, Shiwang, Ma
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