Journal of Nonlinear Science

, Volume 15, Issue 2, pp 93–132

Regularization of the Amended Potential and the Bifurcation of Relative Equilibria


    • I.I.M.A.S., Universidad Nacional Autonoma de Mexico, Mexico D.F., C.P. 01000
    • Control and Dynamical Systems, California Institute of Technology, Pasadena, CA 91125

DOI: 10.1007/s00332-004-0544-x

Cite this article as:
Hernández-Garduño, A. & Marsden, J. J Nonlinear Sci (2005) 15: 93. doi:10.1007/s00332-004-0544-x


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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© Springer 2005