Regularization of the Amended Potential and the Bifurcation of Relative Equilibria

نویسندگان

  • Antonio Hernández-Garduño
  • Jerrold E. Marsden
چکیده

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 equi-libria. The general method is illustrated with two concrete mechanical examples, the double spherical pendulum and the symmetric coupled rigid bodies.

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عنوان ژورنال:
  • J. Nonlinear Science

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2005