A general solution of the Duffing equation
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Publication:2458302
DOI10.1007/s11071-006-1858-zzbMath1121.70016OpenAlexW2059107109MaRDI QIDQ2458302
Publication date: 31 October 2007
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-006-1858-z
Related Items (10)
Solvable approximations of 3-dimensional almost-Riemannian structures ⋮ A nonlinear oscillatory system subjected to driving forces of elliptic type ⋮ The solution structure of the Düffing oscillator's transient response and general solution ⋮ On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions ⋮ An asymptotic approach for large amplitude motions of generic nonlinear systems ⋮ An analytical approximation method for strongly nonlinear oscillators ⋮ Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise ⋮ ON TWO-SCALE DIMENSION AND ITS APPLICATION FOR DERIVING A NEW ANALYTICAL SOLUTION FOR THE FRACTAL DUFFING’S EQUATION ⋮ Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method ⋮ INVESTIGATION OF THE STEADY-STATE SOLUTION OF THE FRACTAL FORCED DUFFING’S OSCILLATOR USING AN ANCIENT CHINESE ALGORITHM
Cites Work
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- A quantitative stability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity
- High order analysis of nonlinear periodic differential equations
- Application of Jacobian elliptic functions to the analysis of the steady-state solution of the damped Duffing equation with driving force of elliptic type
- An Alternative Analysis of Duffing’s Equation
- Parametric excitations of linear systems having many degrees of freedom
- On The Elliptic Balance Method
- A Discussion of the Duffing Problem
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