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A reversible bifurcation analysis of the inverted pendulum

Noort, M. van (1997) A reversible bifurcation analysis of the inverted pendulum. Master's Thesis / Essay, Mathematics.

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Abstract

The inverted pendulum with a periodic parametric forcing is considered as a bifurcation problem in the reversible setting. Parameters are given by the size of the forcing and the frequency ratio. Normal form theory provides an integrable approximation of the Poincaré map generated by a planar vector field. Genericity of the model is studied by perturbation analysis, where a spatial symmetry is optional.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:28
Last Modified: 15 Feb 2018 07:28
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8597

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