Soliton-like dynamics of filtrons of cyclic automata

Inverse Problems

Volumn 17, Issue 4, 2001, Pages 897-918

  Siwak, Paweł ^a  

^a POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035420494     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/4/322     Document Type: Article

References (35)

1. Ablowitz M J, Reiser J M and Takhtajan L A 1991 A class of stable multistate time-reversible cellular automata with rich particle content Phys. Rev. A 44 6909-12
2. Bruschi M, Santini P M and Ragnisco O 1992 Integrable cellular automata Phys. Lett. A 169 151-60
3. Delorme M and Mazoyer J (ed) 1999 Cellular Automuta: A Parallel Model (Dordrecht: Kluwer)
4. Fokas A S, Papadopoulu E P, Saridakis Y G and Ahlowitz M J 1989 Interaction of simple particles in soliton cellular automata Stud. Appl. Math. 81 153-80
5. Fokas A S, Papadopoulou E P and Saridakis Y G 1989 Particles in soliton cellular automata Complex Syst. 3 615-33
6. Fokas A S, Papadopoulou E P and Saridakis Y G 1990 Coherent structures in cellular automata Phys. Lett. A 147 369-79
7. Fuchssteiner B 1991 Filter automata admitting oscillating carrier waves Appl. Math. Lett. 4 23-6
8. Fuchssteiner B and Kemper A 1999 Multi-dimensional fast rule filter automata Physica D 129 130-42
9. Fukuda K, Okado M and Yamada Y 2000 Energy functions in box ball systems Int. J. Mod. Phys. A 15 1379-92
10. Goldberg A H 1988 Parity filter automata Complex Syst. 291-141
11. M automata related to crystals of symmetric tensors J. Math. Phys. 42 274-308
12. Hikami K, Inoue R and Komori Y 1999 Crystallization of the Bogoyavlensky lattice J. Phys. Soc. Japan 68 2234-40
13. Jakubowski M H, Steiglitz K and Squier R K 1996 When can solitons compute? Complex Syst. 10 1-21
14. Jakubowski M H, Steiglitz K and Squier R K 1997 Information transfer between solitary waves in saturable Schrödinger equation Phys. Rev. E 56 7267-72
15. Jiang Z 1992 An energy-conserved solitonic cellular automaton J. Phys. A: Math. Gen. 25 3369-81
16. Kath B and Kath B 1998 Making waves: solitons and their optical applications SIAM News 31 1 Kath B and Kath B 1998 SIAM News 31 12 Kath B and Kath B 1998 SIAM News 31 13
17. Kath B and Kath B 1998 Making waves: solitons and their optical applications SIAM News 31 1 Kath B and Kath B 1998 SIAM News 31 12 Kath B and Kath B 1998 SIAM News 31 13
18. Kath B and Kath B 1998 Making waves: solitons and their optical applications SIAM News 31 1 Kath B and Kath B 1998 SIAM News 31 12 Kath B and Kath B 1998 SIAM News 31 13
19. Papatheodorou T S, Ablowitz M J and Saridakis Y G 1988 A rule for fast computation and analysis of soliton automata Stud. Appl. Math. 79 173-84
20. Papatheodorou T S and Fokas A S 1989 Evolution theory, periodic particles and solitons in cellular automata Stud. Appl. Math. 80 165-82
21. Park J K, Steiglitz K and Thurston W P 1986 Soliton-like behavior in automata Physica D 19 423-32
22. Puchalka T and Siwak P 1995 Automata and languages MMAR'95: Proc. 2nd Int. Symp. on Methods and Models in Automation and Robotics (Miȩdzyzdroje, Poland, 1995) ed S Bańka, S Domek and Z Emirsajłow (Szczecin: Wydawnictwo Politechniki Szczecińskiej) pp 467-80
23. Siwak P 1993 Introduction to filter automata theory Stud. Autom. 18 87-110
24. Siwak P 1995 Filter automata and PRR filtering J. Tech. Phys. 36 153-63
25. Siwak P 1998 Filtrons and their associated ring computations Int. J. Gen. Syst. 27 181-229 (Special issue on physical systems)
26. Siwak P 1998 On automata of some discrete recursive filters that support the filtrons MMAR'98: Proc. 5th Int. Symp. Methods and Models in Automation and Robotics (Miȩdyzdroje, Poland, 1998) Discrete Processes vol 3, ed S Domek, R Kaszyński and L Tarasiejski (Szczecin: Wydawnictwo Politechniki Szczecinskiej) pp 1069-74
27. Siwak P 1999 Iterons, fractals and computations of automata Computing Anticipatory Systems CASYS'98: 2nd Int. Conf. (Liege, Belgium, 1998) (AIP Conf. Proc. 465) ed D M Dubois (New York: AIP) pp 367-94
28. Siwak P 2000 On automaton media supporting the filtrons Computing Anticipators Systems CASYS'99: 3rd Int. Conf. (Liege, Belgium, 1999) (AIP Conf. Proc. 517) ed D M Dubois (New York: AIP) pp 552-73
29. Siwak P 2000 Automata and filtrons CASYS'2000: 4th Int. Conf. on Computing Anticipatory Systems (Liege, Belgium, 2000) vol 12, ed D M Dubois, Abstracts, pp 8-11
30. Steiglitz K. Kamal I and Watson A 1988 Embedding computation in one-dimensional automata by phase coding solitons IEEE Trans. Comput. 37 138-45
31. Takahashi D 1991 On a fully discrete soliton system Proc. NEEDS'91 (Baia Verde, Gallipoli, Italy, 1991) ed M Boiti, L Martina and F Pempinelli (Singapore: World Scientific) pp 245-9
32. Takahashi D 1993 On some soliton systems defined by using boxes and balls NOLTA'93: Int. Symp. on Nonlinear Theory and its Applications (Hawaii, USA, 1993) pp 555-8
33. Takahashi D and Matsukidaira J 1997 Box and ball system with carrier and ultradiscrete modified KdV equation J. Phys. A: Math. Gen. 30 L733-9
34. Takahashi D and Satsuma J 1990 A soliton cellular automaton J. Phys. Soc. Japan 59 3514-9
35. Tokihiro T, Takahashi D and Matsukidaira J 2000 Box and ball systems as a realization of ullradiscrete nonautonomous KP equation J. Phys. A: Math. Gen. 33 607-19