Cogprints

Memory Evolutive Systems

Ehresmann, Andree and Vanbremeersch, Jean-Paul (1999) Memory Evolutive Systems. [Preprint]

Full text available as:

[img] HTML
68Kb

Abstract

Natural autonomous systems, such as biological, neural, social or cultural systems, are open, self-organized systems with a more or less large hierarchy of interacting complexity levels; they are able to memorize their experiences and to adapt to various conditions through a change of behavior. These last fifteen years, the Authors have developed a mathematical model for these systems, based on Category Theory. The aim of the paper is to give an overview of this model, called Memory Evolutive Systems.

Item Type:Preprint
Keywords:evolutionary system, biological system, anticipatory system, complexity theory, category theory, neural network, philosophy of mind
Subjects:Computer Science > Complexity Theory
Computer Science > Neural Nets
Neuroscience > Neural Modelling
ID Code:921
Deposited By: Ehresmann, Andree
Deposited On:07 Aug 2000
Last Modified:11 Mar 2011 08:54

References in Article

Select the SEEK icon to attempt to find the referenced article. If it does not appear to be in cogprints you will be forwarded to the paracite service. Poorly formated references will probably not work.

1. Auger, P. (1989), Dynamics and thermodynamics in hierarchically organized systems, Pergamon Press.

2. Baas, N. A. (1992), Hyperstructures - a framework for emergence, hierarchies and complexity, in "Proceedings du Congrès sur l'émergence dans les modèles de la cognition", Télécom. Paris, 67-93.

3. Bastiani(-Ehresmann), A. (1964), Applications différentiables..., Jour. d'Analyse Math. Jérusalem XIII, 1-113.

4. Bastiani(-Ehresmann), A. (1967), Sur le problème général d'optimisation, in "Identification, Optimalisation et stabilité des systèmes automatiques", Dunod, 125-135.

5. Bastiani(-Ehresmann), A. & Ehresmann, C. (1972), Categories of sketched structures, Cahiers Top. et Géom. Diff. XIII-2; reprinted in "Charles Ehresmann, Oeuvres complètes et commentées", Partie IV-1, Amiens (1984).

6. Bertalanffy, L. von (1973), General System Theory, Harmondsworth, Penguin.

7. Bunge, M. (1979), Treatise on Basic Philosophy, Vol. 4; Reidel, Dordrecht.

8. Chandler, J.L.R. (1997), Semiotics of complex systems: a hierarchical notation for the mathematical structure of a single cell, in "Proceedings Conference Euro'97".

9. Chandler, J., Ehresmann, A.C. and Vanbremeersch, J.-P. (1995), Contrasting two representations of emergence of cellular dynamics, in "Proceedings Symposium on Emergence, Inter'Symp'95", The International Institute for advanced studies in Systems research and Cybernetics, Windsor.

10. Changeux, J.-P. (1983), L'homme neuronal, Fayard, Paris.

11. Chapline, G. (1999), Is theoretical physics the same thing as mathematics, Physics Report 315, 95-105.

12. Cordier, J.-M & Porter, T. (1989), Shape Theory, Wiley.

13. Eccles, J.C. (1986), Do mental events cause neural events? Proc. R. Soc. Lond. B227, 411-428.

14. Edelman, G.M. (1989), The remembered Present, Basic Books, New York.

15. Charles Ehresmann, Oeuvres complètes et commentées, Partie I, Amiens, 1983.

16. Ehresmann, A.C. and Vanbremeersch J.-P. (1987), Hierarchical evolutive systems, Bull. Math. Biol. 49, 13-50.

17. Ehresmann, A.C. and Vanbremeersch J.-P. (1991), Un modèle pour des systèmes évolutifs avec mémoire..., Revue Intern. de Systémique 5 (1), 5-25.

18. Ehresmann, A.C. and Vanbremeersch J.-P. (1992), Outils mathématiques pour modéliser les systèmes complexes, Cahiers Top. et Géo. Diff. Cat. XXXIII, 225-236.

19. Ehresmann, A.C. and Vanbremeersch J.-P. (1993), Memory Evolutive systems: An application to an aging theory, in "Cybernetics and Systems" (Ghosal & Murthy, Ed.); Tata McGraw-Hill Pub. C° New Delhi, 90-92.

20. Ehresmann, A.C. and Vanbremeersch J.-P. (1996), Multiplicity Principle and emergence in MES, SAMS 26, 81-117.

21. Ehresmann, A.C. and Vanbremeersch J.-P. (1999), Site Internet: http://perso.wanadoo.fr/vbm-ehr

22. Eilenberg, S. & Mac Lane, S. (1945), General theory of natural equivalences, Trans. Am. Math. Soc. 58, 231-294.

23. Farre, G.L. (1994), Reflections on the question of emergence, in "Advances in Synergetics", Volume I, The International Institute for advanced studies in Systems research and Cybernetics, Windsor.

24. Gazzaniga, M.S. (1985), The social brain, Basic Books, New York.

25. Goguen, J.A. (1970), Mathematical representation of hierarchically organized systems, in "Global Systems Dynamics", Ed. Attinger, Basel, 65-85.

26. Hebb, D. O. (1949), The organization of behaviour; Wiley, New York.

27. Hubel, D.H. and Wiesel, T.N. (1962), Receptive fields..., J. Physio.160 (1) (1962).

28. Josephson, B. (1998), Extendibility of activities and the design of the nervous system, in "Proceedings third international conference on emergence ECHO III" (ed. Farre), Helsinki.

29. Kainen, P.C. (1990), Functorial cybernetics of attention, in "Neurocomputers and Attention II" (ed. Holden and Kryukov), Manchester University Press, Chap. 57.

30. Kan, D. M. (1958), Adjoint Functors, Trans. Am. Math. Soc. 89, 294-329.

31. Lawvere, F.W. (1972), Introduction: Toposes, Algebraic Geometry and Logic, Lecture Notes in Math. 274, Springer, 1-12.

32. Louie, A.H. (1983), Categorical System Theory, Bull. math. Biol. 45, 1029-1072.

33. Mac Lane, S. (1991), Categories for the working mathematician, Springer.

34. Malsburg C. (von der) & Bienenstock E. (1986), Statistical coding and short-term synaptic plasticity, in "Disordered systems and biological organization", NATO ASI Series 20, Springer.

35. Matsuno, K. (1989), Protobiology: Physical basis of Biology, CRC Press, Boca Raton.

36. Minsky, M. (1986), The society of mind, Simon & Schuster, New York.

37. Paton, R.C (1997), Glue, verb and text metaphors in Biology, Acta Biotheoretica 45, 1-15.

38. Rosen, R. (1958), The representation of biological systems from the standpoint of the Theory of Categories, Bull. math. Biophys. 20, 245-260.

39. Rosen, R. (1986), Theoretical Biology and complexity, Academic Press.

40. Salthe, S.N. (1985), Evolving hierarchical systems: their structure and representation, Columbia University Press.

41. Thom, R. (1988), Esquisse d'une Sémiophysique, InterEditions, Paris.

42. Vallée, R. (1995), Cognition et Système, L'Interdisciplinaire, Limonest.

43. Walters, R.E.C. (1991), Categories and computer science, Cambridge University Press.

44. Zeeman, E.C., Catastrophe Theory, selected papers, Addison-Wesley (1977).

Metadata

Repository Staff Only: item control page

Cogprints is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.