Results 191 to 200 of about 7,979 (231)

On controllability of Duffing equation

Applied Mathematics and Computation, 2013
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Loi, Nguyen Van, Obukhovskii, Valeri
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The generalized duffing equation with large damping

International Journal of Non-Linear Mechanics, 1968
Abstract The equation x + 2p x + ω 2 0 x + μ n x = 0 where n is an odd integer greater than or equal to 3, x(0) = A0, and x (0) = 0 has received much attention in the literature but always with the restrictions that μ and p are small.
Ludeke, C. A., Wagner, W. S.
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On Quasi-periodic Perturbations of Duffing Equation

The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2016
Summary: Quasi-periodic two-frequency perturbations are studied in a system which is close to a nonlinear two-dimensional Hamiltonian one. The example of Duffing equation with a saddle and two separatix loops is considered. Several problems are studied: dynamical behavior in a neighborhood of a resonance level of the unperturbed system, conditions for ...
Morozov, A. D., Dragunov, T. N.
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Duffing equation and action functional

Nonlinear Analysis: Theory, Methods & Applications, 2011
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Boundedness of solutions for semilinear duffing equations

Applied Mathematics and Computation, 2002
The author studies the boundedness of all solutions of the equation \(x''+n^{2}x+f(x) = p(t)\). The main result is the following theorem: Suppose \(f(x) \in C^{\infty } ({\mathbb R}), p(t)\in C^{6} ({\mathbb R}/2 \pi {\mathbb Z})\). If \(\int^{2\pi }_{0} p(t)e^{-int}dt = 0\) and if \(f(x)\) satisfies the following conditions: the limits \(\lim \limits_{
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Duffing's equation and nonlinear resonance

International Journal of Mathematical Education in Science and Technology, 2003
The phenomenon of nonlinear resonance (sometimes called the ‘jump phenomenon’) is examined and second-order van der Pol plane analysis is employed to indicate that this phenomenon is not a feature of the equation, but rather the result of accumulated round-off error, truncation error and algorithm error that distorts the true bounded solution onto an ...
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Solution of the Duffing Equation

1994
Consider the Duffing equation with variable excitation and constant coefficients α, β, γ $$\begin{gathered} {\text{u''}} + \alpha u' + \beta u + \gamma {u^3} = \delta (t) \hfill \\ u(0) = {c_0}{\text{ u'(0) = }}{{\text{c}}_1} \hfill \\ \end{gathered} % MathType!End!2!1! $$ δ(t) will be written as a series δ(t) = Σ n=0 ∞ δntn. Let L = d2/dt2. Then
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A General Solution of the Duffing Equation

Nonlinear Dynamics, 2006
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On Duffing’s Equation

Journal of Applied Mechanics, 1961
Ojalvo, I. U., Bleckman, G. L.
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Lienard and Duffing equations

2022
Kolawolé Kêgnidé Damien Adjaï, Akande, Jean, Monsia, Marc Delphin   +2 more
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