LINER STABILITY OF A PERIODIC ORBIT OF TWO-BALL LINEAR SYSTEMS

  • Chi, Dong-Pyo ;
  • Seo, Sun-Bok
  • Published : 1999.03.01

Abstract

We introduce a Hamiltonian system which consists of two balls in the vertical line colliding elastically with each other and the floor. Wojtkowski proved that for the system of two linear balls with a linear potential (with gravity), there is a periodic orbit which becomes linearly stable if m1

Keywords

system of falling balls;symplectic map;collision map;linear stability of a periodic orbit

References

  1. Mathematical Methods of Classical Mechanics Arnold, V. I.
  2. Commun. Math. Phys. v.126 A system of one dimensional balls with gravity Wojtkowski, M. P.
  3. J. Math. Phys. v.28 Linear stability of symplectic maps Howard, J.E.;Makay, R. S.