Regularization of the Amended Potential and the Bifurcation of
Relative Equilibria |
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| Authors: | A Hernández-Garduño JE Marsden |
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| Institution: | (1) I.I.M.A.S., Universidad Nacional Autonoma de Mexico, Mexico D.F., C.P. 01000, Mexico;(2) Control and Dynamical Systems, California Institute of Technology, Pasadena, CA 91125, USA |
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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. |
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| Keywords: | |
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