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Zbl 0667.34054
Benci, V.; Giannoni, F.
Periodic bounce trajectories with a low number of bounce points. (English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 6, No.1, 73-93 (1989). ISSN 0294-1449

Authors' abstract: ``In this paper we study the existence of a periodic trajectory with prescribed period, which bounces against the boundary of an open subset of $R\sp N$, in presence of a potential field. We prove the existence of periodic solutions with at most $N+1$ bounce points.''
[J.Andres]

MSC 2000:: *34C25 Periodic solutions of ODE
37G99 Bifurcation theory
58E05 Abstract critical point theory

Keywords: periodic bounce trajectory; Morse index; bounce points

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