Multi-dimensional fast rule filter automata

Physica D: Nonlinear Phenomena

Volumn 129, Issue 1-2, 1999, Pages 130-142

  Fuchssteiner, B ^a   Kemper, A ^a  

^a UNIVERSITY OF PADERBORN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006712323     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00308-X     Document Type: Article

References (10)

1. J.K. Park, K. Steglitz, W. Thurston, Soliton-like behavior in automata, Physica D 19 (1986) 423.
2. T.S. Papatheodorou, M.J. Ablowitz, Y.G. Saridakis, A rule for fast computation and analysis of soliton automata, Stud. Appl. Math. 79 (1988) 173.
3. A.S. Fokas, Y. Saridakis, E. Papandopoulou, Coherent structures in multi-dimensional cellular automata, Phys. Lett. A 147 (1989) 369.
4. J.M. Keiser, L.A. Takhtajan, M.J. Ablowitz, A class of multi-state time-reversible cellular automata with rich particle content, Phys. Rev. A 44 (1991) 6909.
5. M.J. Ablowitz, J.M. Keiser, L.A. Takhtajan, Stable, multi-state, time-reversible cellular automata with rich particle content, Quaest. Mathematicae 15 (1992) 352.
6. A. Kemper, Multi-dimensionale fast rule automaten, Ph.D. Thesis, Department of Mathematics, University of Paderborn, Germany, 1995.
7. I.Y. Dorfman, A.S. Fokas, Hamiltonian theory over noncommutative rings and integrability in multi-dimensions, J. Math. Phys. 33 (1992) 2504.
8. B. Fuchssteiner, Filter automata admitting oscillating carrier waves, Appl. Math. Lett. 4 (1991) 23.
9. A.S. Fokas, E. Papadopoulou, Y.G. Saridakis, M.J. Ablowitz, Interacton of simple particles in soliton cellular automata, Stud. Appl. Math. 81 (1989) 153.
10. A.S. Fokas, E. Papadopoulou, Y.G. Saridakis, Soliton cellular automata, Physica D 41 (1990) 297.