Orbits in different dispersive billiard systems, e.g. the 3 disk system, are mapped into a topological well ordered symbol plane and it is showed that forbidden and allowed orbits are separated by a monotone pruning front. The pruning front can be approximated by a sequence of finite symbolic dynamics grammars. 1 ‡ Permanent address: Phys Dep., University of Oslo, Box 1048, Blindern, N-0316 Oslo

Angelo Signoracci,1 B. Alex Brown,1 and Morten Hjorth-Jensen2 1Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA 2Department of Physics and Center of Mathematics for Applications, University of Oslo, N-0316 Oslo, Norway (Received 27 September 2010; revised manuscript received 25 January 2011; ...

University of Georgia, Athens, Georgia, U.S.A. University of Kentucky, Lexington, Kentucky, U.S.A. BBN Technologies, Cambridge, Massachusetts, U.S.A. University of Illinois, Urbana, Illinois, U.S.A. Northwestern University, Evanston, Illinois, U.S.A. Correspondence Aaron Schecter, University of Georgia 630 S. Lumpkin St., C419 Athens, GA 30602‐1575, U.S.A. Email: [email protected] Funding infor...

Brittle fracture during folding of rocks: A finite element study P. Jäger a; S. M. Schmalholz b; D. W. Schmid c; E. Kuhl d a Department of Mechanical Engineering, University of Kaiserslautern, Kaiserslautern, Germany b Geological Institute, Zürich, Switzerland c Physics of Geological Processes, University of Oslo, 0316 Oslo, Norway d Department of Mechanical Engineering, Stanford University, St...

We construct a well ordered symbolic dynamics plane for the stadium billiard. In this symbolic plane the forbidden and the allowed orbits are separated by a monotone pruning front, and allowed orbits can be systematically generated by sequences of approximate finite grammars. 1 ‡ Permanent address: Phys Dep., University of Oslo, Box 1048, Blindern, N-0316 Oslo

1 Interventional Centre, Oslo University Hospital and Interventional Centre, Institute of Clinical Medicine, University of Oslo, Sognsvannsveien 20, 0027 Oslo, Norway 2Forsvarets forskningsinstitutt, Postboks 25, 2027 Kjeller, Norway 3Department of Geosciences, University of Oslo, P.O. Box 1047 Blindern, 0316 Oslo, Norway 4Department of Electronics and Telecommunications, Norwegian University o...