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The 'Indian rope trick' for a parametrically excited flexible rod: nonlinear and subharmonic analysis

✍ Scribed by Fraser, W. B.; Champneys, A. R.

Book ID: 120147235
Publisher: The Royal Society
Year: 2002
Tongue: English
Weight: 612 KB
Volume: 458
Category: Article
ISSN: 0962-8444
DOI: 10.1098/rspa.2001.0907

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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