, Volume 15, Issue 2, pp 93-132
Date: 28 Feb 2005

Regularization of the Amended Potential and the Bifurcation of Relative Equilibria

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Abstract

In the context of simple mechanical systems with symmetry, we give a method based on blowing up the amended potential for obtaining symmetry-breaking branches of relative equilibria bifurcating from a given set of symmetric relative equilibria. The general method is illustrated with two concrete mechanical examples, the double spherical pendulum and the symmetric coupled rigid bodies.