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Active Control of Panel Vibrations Induced by a Boundary Layer Flow [PDF]

In recent years, active and passive control of sound and vibration in aeroelastic structures have received a great deal of attention due to many potential applications to aerospace and other industries.
Chow, Pao-Liu
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Applications of nonlinear filters with the linear-in-the-parameter structure [PDF]

, 1995
Chng, Eng Siong
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Attractors of systems under bounded perturbation [PDF]

, 1981
Farkas, M.
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Periodic Solutions of Duffing Equation

Periodic Solutions of Duffing Equation
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Periodically Forced Duffing's Equation

Journal of Sound and Vibration, 1994
Abstract Sufficient conditions are established for an equation of the type x ″ + α x + β x 3 = p ( t ) to have periodic solutions, where p ( t ) is periodic. The results are applied to analyze forced vibrations of a mass supported by a non-linear spring.
Mehri, B., Ghorashi, M.
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Quasiperiodic solutions of Duffing’s equations

Nonlinear Analysis: Theory, Methods & Applications, 1998
The existence of quasiperiodic solutions and the boundedness of all solutions to the equation \[ {d^2x \over dt^2}+ x^{2n+1} +\sum^l_{k=0} x^kp_k(t)=0,\;l\leq 2n, \] where \(p_0,\dots,p_l\) are quasi-periodic functions with frequencies \(\omega_1,\dots,\omega_m\), are considered. The Diophantine condition \(|k_1\omega_1+ \cdots+ k_m\omega_m|\geq c/ |k|^
Liu, Bin, You, Jiangong
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Integrable Duffing’s maps and solutions of the Duffing equation

Chaos, Solitons & Fractals, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Murakami, Wakako, Murakami, Chieko, Hirose, Kei-ichi, Ichikawa, Yoshi H.   +3 more
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Bifurcations and Chaos in Duffing Equation

Acta Mathematicae Applicatae Sinica, English Series, 2007
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Zhang, Meng, Yang, Jiangping
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FRACTIONAL DUFFING'S EQUATION AND GEOMETRICAL RESONANCE

International Journal of Bifurcation and Chaos, 2013
We investigate the Fractional Duffing equation in the presence of nonharmonic external perturbations. We have applied the concept of Geometrical Resonance to this equation. We have obtained the conditions that should be satisfied by the external driving forces in order to produce high-amplitude periodic oscillations avoiding chaos.
Jiménez, S., González, J. A., Vázquez, L.   +2 more
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