Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials.
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.
Rapoport
Anna
A
Weizmann Institute of Science, Israel. anna.rapoport@weizmann.ac.il
Rom-Kedar
Vered
V