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The 'Indian rope trick' for a parametrically excited flexible rod: linearized analysis

โœ Scribed by Champneys, A. R.; Fraser, W. B.


Book ID
120148798
Publisher
The Royal Society
Year
2000
Tongue
English
Weight
454 KB
Volume
456
Category
Article
ISSN
0962-8444

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A qualitative analysis of the subharmoni
โœ K.V. Avramov ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

A non-autonomous non-linear dynamical system with a small parameter that describes the parametric oscillations of a flexible rod with three static equilibrium positions is obtained. The generating equation of this model is a dynamical system in a plane with a separatrix loop. The qualitative analysi