Nonlinear asymptotic analysis of a system of two free coupled oscillators with cubic nonlinearities

In this paper a two degrees of freedom undamped nonlinear system of two unforced coupled oscillators with cubic nonlinearities is analyzed. Through a decoupling procedure and using admissible functional transformations it is proved that this system can be reduced to an intermediate second order nonl...

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Veröffentlicht in:	Applied Mathematical Modelling 2017-03, Vol.43, p.509-520
Hauptverfasser:	Theotokoglou, E.E., Panayotounakos, D.E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Decoupling Linearity Nonlinear analysis Nonlinear differential equations Nonlinear systems Nonlinearity Ordinary differential equations Oscillators Stiffness
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