Abstract
It is a controversial issue to decide who first coined the term “attractor”. According to Peter Tsatsanis, the editor of the English version of Prédire n’est pas expliquer, it was René Thom who first introduced such a term. It is necessary, however, to remember that Thom thought that it was first introduced by the American mathematician Steven Smale, “although Smale says it was Thom that coined the neologism “attractor”
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References
Bergé, P., Dubois, M.: Chaos déterministe expérimental et attracteurs étranges. In: Dahan Dalmedico, A., Chabert, J.-L., Chemla, K. (eds.) Chaos et déterminisme, pp. 115–169. Les éditions du Seuil, Paris (1992)
Bernal, A.-R., Gomez, S.-S.: Non-linear non-local reaction-diffusion equations. In: Casas, F., Martinez, V. (eds.) Advances in Differential Equations and Applications. Springer, Switzerland (2014)
Bitbol, M.: Maintenant la finitude. Peut-on penser l’absolu? Flammarion, Paris (2019)
Buzzi, J.: Chaos et stabilité. Le Pommier, Paris (2005)
Cucker, F., Wong, R. (eds.): The Collected Papers of Steve Smale, vol. II. Singapore University Press (2000)
Devaney, R.L.: Chaos, Fractals and Dynamics. Computer Experiments in Mathematics. Addison Wesley, New-York (1990)
De Vries, B.J.M.: Sustainability Science. Cambridge University Press, Cambridge (2012)
Formenti, E., Manzoni, L., Porreca, E.A.: Fixed points and attractors of reaction systems. In: Beckmann, A., Csuhaj-Varjú, E., Meer, K. (eds.) Languages, Life, Limits, pp. 194–203. Springer, Switzerland (2014)
Giunti, M.: Dynamical models of cognition. In: Port, R., van Gelder, T. (eds.) Mind as Motion. MIT Press, Cambridge Massachussets (1995)
Giunti, M.: Computation, Dynamics and Cognition. Oxford University Press, Oxford (1997)
Guastello, S.J., Liebovitch, L.: Introduction to nonlinear dynamics and complexity. In: Guastello, S.J., Koopmans, M., Pincus, D. (eds.) Chaos and Complexity in Psychology: The Theory of Nonlinear Dynamical Systems, pp. 1–40. Cambridge University Press, New York (2009)
Hogan, N., Sternad, D.: Dynamic primitives in the control of locomotion. In: Front. Comput. Neurosci. 7, 71: 1–16 (2013)
Kim, J., Park, S.-M., Cho, K.-H.: Discovery of a kernel for controlling biomolecular regulatory networks. Sci. Rep. 3, 1–25 (2013)
Matéos, J.L.: Complex systems and non-linear dynamics. In: Mora Lopez, J.M. (ed.) Fundamentals of Physics, vol. 1, pp. 346–375. Eols Publishers, Oxford (2013)
Milnor, J.: On the concept of Attractor. Commun. Math. Phys. 99, 177–195 (1985)
Petitot, J.: Note sur la querelle du déterminisme. In: Amsterdamski, S. (ed.) La querelle du déterminisme. Philosophie de la science d’aujourd’hui. Gallimard, Paris (1990)
Tang H., Tan, K.C., Yi Z.: Neural Networks: Computational Models and Applications. Springer (2007)
Tsatsanis, P.: Chapter one notes. In: Thom, R. (ed.) To Predict Is Not to Explain, pp. 53–65. Thombooks Express (2010)
Wang, G.: Analysis of Complex Diseases: A Mathematical Perspective. CRC Press, Taylor & Francis, London (2014)
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La Mantia, F. (2020). Attractors/Basin of Attraction. In: Vercellone, F., Tedesco, S. (eds) Glossary of Morphology. Lecture Notes in Morphogenesis. Springer, Cham. https://doi.org/10.1007/978-3-030-51324-5_8
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