title: Cantori for the stadium billiard.
abstract: Although almost all orbits in the stadium billiard are "chaotic," there are many regular orbits as well-the ordered periodic orbits and cantori. The symmetries of the stadium are exploited to find maximizing and saddle periodic orbits. Cantori are maximizing quasiperiodic orbits; they have caustics. Transport in the stadium should be impeded by cantori, just as in any twist map; this is particularly important for those orbits that are nearly glancing.
authors.affiliation: Program in Applied Mathematics, University of Colorado, Boulder, Colorado 80309-0526.
authors.forename: J. D.
authors.initials: JD
authors.lastname: Meiss