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Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near 1:1 resonance

โœ Scribed by L.I. Manevitch; A.S. Kovaleva; D.S. Shepelev


Book ID
108240535
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
980 KB
Volume
240
Category
Article
ISSN
0167-2789

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Limiting phase trajectories and nonstati
โœ L.I. Manevitch; A.S. Kovaleva; E.L. Manevitch; D.S. Shepelev ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 422 KB

This paper extends the concept of limiting phase trajectories (LPT) to systems with dissipation. The Duffing oscillator with linear dissipation and periodic excitation is studied. Under condition of 1:1 resonance, we obtain an approximate analytic solution describing two stages of motion: at the fir