Abstract
Over the last decade there has been growing interest in new computing algorithms, architectures and materials. Computation based on wave dynamics and reaction-diffusion processes in chemical, physical and biological systems is one of the new approaches being followed. In this talk I will provide a brief account of the subject. Nonlinear media exhibit a variety of spatio-temporal phenomena. Circular waves, spiral waves, and self-localized mobile excitations are the most familiar examples. How to use these phenomena to perform useful computations? I will show that diverse problems are solved in active nonlinear media, where data and results are given by spatial defects and information processing is implemented via spreading and interaction of phase or diffusive waves. Amusing examples from various fields of science will illustrate vitality of the approach: thin layer chemical reactors, cellular automata machines, diffusive ant families, molecular arrays, and pools of doxastic entities.
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References
Adamatzky A. Computation in Nonlinear Media and Automata Collectives (Institute of Physics Publishing, 2001).
Adamatzky A. Space-time dynamic of normalized doxatons: automata models of pathological collective mentality Chaos, Solitons and Fractals 12 (2001) 1629–1656.
Adamatzky A. Pathology of collective doxa. Automata model. Appl. Math. Comput..
Bang O., Christiansen P.L., If F., Rasmussen K. Ø. and Gaididei Y. Temperature effects in a nonlinear model of monolayer Scheibe aggregates Phys. Rev. E 49 (1994) 4627–4635.
Bartnik E.A. and Tuszynski J.A. Theoretical models of energy transfer in two-dimensional molecular assemblies Phys. Rev. E 48 (1993) 1516–1528.
Blittersdorf R., Müller M. and Schneider F. W. Chemical visualization of Boolean functions: A simple chemical computer J. Chem. Educat. 72 (1995) 760–763.
Brown J.A. and Tuszynski J.A. Dipole interactions in axonal microtubules as a mechanism of signal propagation Phys. Rev. E 56 (1997) 5834–5839.
Epstein I.R. and Showalter K. Nonlinear chemical dynamics: oscillations, patterns and chaos J. Phys. Chem. 100 (1996) 13132–13147.
Forinash K., Peyrard M. and Malomed B. Interaction of discrete breathers with impurity modes Phys. Review E 49 (1994) 3400–3411.
Forinash K., Cretegny T. and Peyrard M. Local modes and localizations in a multicomponent lattices Phys. Rev. 55 (1997) 4740–4756.
Ilachinski A. Irreducible semi-autonomous adaptive combat (ISAAC): An artificial-life approach to land warfare CNA Research Memo. 91-61.10 (1997).
Krinski V.I. Auotwaves: results, problems, outlooks In: Self-Organization: Autowaves and Structures Far From Equilibrium (Springer-Verlag, 1984) 9–19.
Thomson W. (Lord Kelvin) On an instrument for calculating integral of the product of two given functions Proc. Roy. Soc. London 24 (1876) 266–275.
Moebius D. and Kuhn H. Energy transfer in monolayers with cyanine dye Scheibe aggregates J. Appl. Phys. 64 (1979) 5138–5141.
Rambidi N.G., Maximychev A.V. and Usatov A.V. Molecular neural network devices based on non-linear dynamic media BioSystems 33 (1994) 125–137.
Steinbock O., Kettunen P. and Showalter K. Chemical wave logic gates J. Phys. Chem. 100 (1996) 49, 18970–18975.
Tóth A. and Showalter K. Logic gates in excitable media J. Chem. Phys. 103 (1995) 2058–2066.
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© 2001 Springer-Verlag Berlin Heidelberg
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Andrew, A. (2001). Computing in Nonlinear Media: Make Waves, Study Collisions. In: Kelemen, J., Sosík, P. (eds) Advances in Artificial Life. ECAL 2001. Lecture Notes in Computer Science(), vol 2159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44811-X_1
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DOI: https://doi.org/10.1007/3-540-44811-X_1
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