Article ID Journal Published Year Pages File Type
788435 Journal of Applied Mathematics and Mechanics 2006 8 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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