Collision-based implementation of a two-bit adder in excitable cellular automaton

Chaos, Solitons and Fractals

Volumn 41, Issue 3, 2009, Pages 1191-1200

  Zhang, Liang ^a   Adamatzky, Andrew ^a  

^a UNIVERSITY OF THE WEST OF ENGLAND   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADDERS; CELLULAR AUTOMATA; REFRACTORY MATERIALS; ROBOTS;

CELLULAR AUTOMATON MODELS; COLLISION-BASED COMPUTING; EXCITABLE MEDIA; NONLINEAR MEDIUM; RESTING CELLS; RESTING STATE;

EXCITED STATES;

EID: 67249083066     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.04.050     Document Type: Article

References (30)

1. Adamatzky A. Controllable transmission of information in the excitable media: the 2+ medium. Adv Mater Opt Electron 5 (1995) 145-155
2. Adamatzky A. Universal dynamical computation in multi-dimensional excitable lattices. Int J Theor Phys 37 (1998) 3069-3108
3. Adamatzky A. Computing in nonlinear media and automata collectives (2001), IoP Publishing
4. In: Adamatzky A. (Ed). Collision based computing (2003), Springer
5. Adamatzky A. Computing with waves in chemical media: massively parallel reaction-diffusion processors. IEICE Trans Electron E87-C (2004) 17481756
6. Adamatzky A., De Lacy Costello B., and Asai T. Reaction-diffusion computers (2005), Elsevier
7. Adamatzky A. Collision-based computing in Belousov-Zhabotinsky medium. Chaos Solitons & Fractals 21 (2004) 1259-1264
8. Adamatzky A., and De Lacy Costello B. Binary collisions between wave-fragments in a sub-excitable Belousov-Zhabotinsky medium. Chaos Solitons & Fractals (2006)
9. Adamatzky A., and De Lacy Costello B. Experimental implementation of collision-based gates in Belousov-Zhabotinsky medium. Chaos Solitons & Fractals 25 (2005) 535-544
10. Adamatzky A., Wuesche A., and De Lacy Costello B. Glider-based computing in reaction-diffusion hexagonal cellular automata. Chaos, Solitons & Fractals 27 (2006) 287-295
11. Adamatzky A., Martnez G., and Juan C. Seck Tuoh Mora phenomenology of reaction-diffusion binary-state cellular automata. Int J Bifurcation Chaos (2007)
12. Aubry S. Breathers in nonlinear lattices: existence linear stability and quantization. Physica D 103 (1997) 201
13. Aubry S. Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems. Physica D 216 (2006) 1-30
14. Berlekamp E., Conway J., and Guy R. Winning ways vol. 2 (1982), Academic Press
15. Bode M., Liehr A.W., Schenk C.P., and Purwins H.-G. Interaction of dissipative solitons: particle-like behaviour of localized structures in a three-component reaction-diffusion system. Physica D 161 (2002) 45-66
16. Chen Z., Martin H., Eugenieva E.D., Xu J., and Yang J. Formation of discrete solitons in light-induced photonic lattices. Opt Express 13 (2005) 1816
17. Christodoulides D., Lederer F., and Silberberg Y. Discretizing light behavious in linear and nonlinear waveguide lattices. Nature 424 (2003) 817
18. El Naschie M.S. A very brief history of localization. Chaos Solitons & Fractals 11 (2000) 1479-1480
19. El Naschie M.S., and Kapitaniak T. Soliton chaos models for mechanical and biological elastic chains. Phys Lett A 147 (1990) 275-281
20. Flach S., and Willis C.R. Discrete breathers. Phys Reports 295 (1998) 181
21. Fredkin E., and Toffoli T. Conservative logic. Int J Theor Phys 21 (1982) 219-253
22. Gardner M. Mathematical games - the fantastic combinations of John H. Conway's new solitaire game life. Sci Am 223 (1970) 120-123
23. In: Griffeath D., and Moore C. (Eds). New constructions in cellular automata (2003), Oxford University Press
24. Heudin J.-K. A new candidate rule for the game of two-dimensional life. Complex Syst 10 (1996) 367-381
25. Liehr AW, Bode M, Purwins HG. The generation of dissipative quasi-particles near Turing's bifurcation in three-dimensional reaction-diffusion-systems. In: Krause E, Jger W, editors. (Hrsg.): High performance computing in science and engineering 2000. Transactions of the high performance computing center, Stuttgart (HLRS) 2000, Springer; 2001. p. S. 425-39.
26. Maccari A. Chaos solitons and fractals in hidden symmetry models. Chaos, Solitons & Fractals 27 (2006) 363-376
27. Margolus N. Physics-like models of computation. Physica D 10 (1984) 81-95
28. Maruno K., and Biondini G. Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues. J Phys A: Math Gen 37 (2004) 11819-11839
29. Sediña-Nadal I., Mihaliuk E., Wang J., Pérez-Muñuzuri W., and Showalter K. Wave propagation in subexcitable media with periodically modulated excitability. Phys Rev Lett 86 (2001) 1646
30. Wuensche A. Self-reproduction by glider collisions: the beehive rule. Alife9 proceedings, MIT Press; 2004. p. 286-91.