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Double choreographical solutions for n-body type problems

  • V. Barutello
  • S. Terracini
Conference paper

Abstract

In this work, we prove the existence of solutions for the double choreographical n-body problem as critical points which are not minimizers of the corresponding Lagrangian action functional. We use the topological features of the sublevels of the action when a strong force assumption is imposed. We conclude with a description of an operative method to determine these solutions in ℝ3.

Keywords

Critical ponts theory n-body problem 

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Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  • V. Barutello
    • 1
  • S. Terracini
    • 1
  1. 1.Dipartimento di Matematica e ApplicazioniUniversità di Milano-BicoccaMilanItaly

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