# 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

#### 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

#### 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.