Marie-Claude Arnaud 2002 Nonlinearity 15 1755 doi:10.1088/0951-7715/15/6/303
Marie-Claude Arnaud
Show affiliationsRecommended by L Bunimovich
We prove that in a p-dimensional billiard, every 2-link non-degenerate periodic solution which minimizes or maximizes the length is hyperbolic. This result generalizes the results of Treshchev concerning the case of the planar Birkhoff billiard.
37D50 Hyperbolic systems with singularities (billiards, etc.)
Issue 6 (November 2002)
Received 21 February 2002, in final form 15 July 2002
Published 9 September 2002
Marie-Claude Arnaud 2002 Nonlinearity 15 1755
Thomas Curtright et al 2009 J. Phys. A: Math. Theor. 42 462001
R Krechetnikov and J E Marsden 2009 J. Phys. A: Math. Theor. 42 412004
S D Mahanti and Sudhanshu S Jha 2006 J. Phys. A: Math. Gen. 39 1239
Alistair B Forbes 2006 Metrologia 43 S282
P M Echenique and J B Pendry 1975 J. Phys. C: Solid State Phys. 8 2936
Mark A. Gurwell 2004 ApJ 616 L7
Yanpeng Zhang et al 2004 J. Phys. B: At. Mol. Opt. Phys. 37 1751
C Delbecq and C Quesne 1993 J. Phys. A: Math. Gen. 26 L127
Adam M Rawlett et al 2003 Nanotechnology 14 377