Regularization of the Amended Potential and the Bifurcation of Relative Equilibria
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- Hernández-Garduño, A. & Marsden, J. J Nonlinear Sci (2005) 15: 93. doi:10.1007/s00332-004-0544-x
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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.