First Integrals for Two Linearly Coupled Nonlinear Duffing Oscillators
نویسندگان
چکیده
منابع مشابه
First Integrals for Two Linearly Coupled Nonlinear Duffing Oscillators
We investigate Noether and partial Noether operators of point type corresponding to a Lagrangian and a partial Lagrangian for a system of two linearly coupled nonlinear Duffing oscillators. Then, the first integrals with respect to Noether and partial Noether operators of point type are obtained explicitly by utilizing Noether and partial Noether theorems for the system under consideration. Mor...
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In this article, under certain parametric conditions, we study the first integrals of the Duffing-van der Pol-type oscillator equations which include the van der Pol and the Duffing oscillator systems, as particular cases. After making a series of variable transformations and applying the PrellerSinger method, we find the first integrals of the simplified equations without complicated calculati...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2011
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2011/831647