Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
788435 | Journal of Applied Mathematics and Mechanics | 2006 | 8 Pages |
Abstract
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 analysis presented includes an investigation of the stability and bifurcation of subharmonic motions at resonance energy levels.
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Authors
K.V. Avramov,