Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

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

  • Chi, Dong-Pyo (Department of Mathematics Seoul National University) ;
  • Seo, Sun-Bok (Department of Mathematics Seoul National University)
  • Published : 1999.03.01
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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

References

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