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Almost periodic solutions for nonlinear duffing equations
Acta Mathematica Sinica, 1997Consider the Duffing differential equation \[ d^2x/dt^2- x+ x^3= f(t),\tag{\(*\)} \] where \(f\) is almost periodic. By using the theory of exponential dichotomy, the author first proves that \((*)\) has a unique bounded solution provided \(|f|\leq 8/27\).
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The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation
Numerical Methods for Partial Differential Equations, 2021Ji-Huan He, Yusry O El-Dib
exaly
Bursting oscillations in Duffing’s equation with slowly changing external forcing
Communications in Nonlinear Science and Numerical Simulation, 2011Xiu-Jing Han, Qin-Sheng Bi
exaly
A frequency domain analysis of the effects of nonlinear damping on the Duffing equation
Mechanical Systems and Signal Processing, 2014Zi-Qiang Lang, Stephen A Billings
exaly