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Limiting phase trajectories and non-stationary resonance oscillations of the Duffing oscillator. Part 1. A non-dissipative oscillator

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


Book ID
108097030
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
655 KB
Volume
16
Category
Article
ISSN
1007-5704

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๐Ÿ“œ SIMILAR VOLUMES


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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

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