title: Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials.
abstract: It is demonstrated numerically that smooth three degrees of freedom Hamiltonian systems that are arbitrarily close to three-dimensional strictly dispersing billiards (Sinai billiards) have islands of effective stability, and hence are nonergodic. The mechanism for creating the islands is corners of the billiards domain.
authors.affiliation: Weizmann Institute of Science, Israel. anna.rapoport@weizmann.ac.il
authors.forename: Anna
authors.initials: A
authors.lastname: Rapoport
authors.forename: Vered
authors.initials: V
authors.lastname: Rom-Kedar