Receptor-based CNN model with hysteresis for pattern formation

Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications

Volumn , Issue , 2006, Pages

  Slavova, Angela ^a   Markova, Maya ^b  

^a INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

^b UNIVERSITY OF RUSE   (Bulgaria)

Author keywords

Cellular neural network; Describing function method; Hysteresis; Receptor based model

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; DYNAMICS; ELASTICITY; HYSTERESIS; KETONES; NEURAL NETWORKS;

CELLULAR NONLINEAR NETWORK (CNN); INTERNATIONAL (CO); NUMERICAL SIMULATIONS; PATTERN FORMATIONS; RECEPTOR (IR);

CELLULAR NEURAL NETWORKS;

EID: 47549085967     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CNNA.2006.341638     Document Type: Conference Paper

References (9)

1. N.F.Britton, Reaction-Diffusion Equations and Their Applications to Biology, New York: Academic, 1986.
2. L.O.Chua, L.Yang, "Cellular Neural Network: Theory and Applications", IEEE Trans. CAS, vol. 35, pp. 1257-1290, Oct. 1988.
3. L.O.Chua, M.Hasler, G.S.Moschytz, J.Neirynsk, "Autonomous cellular neural networks: a unified paradigm for pattern formation and active wave propagation", IEEE Trans. CAS-I, vol. 42, N 10, pp. 559-577, Oct. 1995.
4. R.Genesio, A.Tesi, F.Villoresi, "A frequency approach for analyzing and controlling chaos in nonlinear circuits", IEEE Trans. CAS-I, vol. 40, N 11, pp. 819-827, Nov. 1993.
5. S.Heinze, B.Schweizer, "Creeping fronts in degenerate reaction-diffusion systems", to appear.
6. F.Hoppensteadt, W.Jäger, "Pattern formation by bacteria". In S.Levin, editor, Lecture Notes in Biomathematics:Biological Growth and Spread, pp. 69-81, Heidelberg, Springer-Verlag, 1980.
7. A.I.Mees, Dynamics of Feedback Systems, London, England: Wiley, 1981.
8. T.Roska, L.O.Chua, D.Wolf, T.Kozek, R.Tetzlaff, F.Puffer, "Simulating nonlinear waves and partial differential equations via CNN- Part I: Basic techniques", IEEE Trans. CAS-I, vol. 42, N 10, pp. 807-815, Oct. 1995.
9. A.M.Turing, "The chemical basis of morphogenesis", Phil.Trans.Roy.Soc. B, 237:37-72, 1952.