Hysteresis model of unconscious-conscious interconnection: Exploring dynamics on m-adic trees

Giuseppe Iurato (1) , Andrei Khrennikov (2)

1 Department of Physics
2 Department of Information Sciences

In this brief note, we focus attention on a possible implementation of a basic hysteretic pattern (the Preisach one), suitably generalized, into a formal model of unconscious-conscious interconnection and based on representation of mental entities by m-adic numbers. PS. The theoretical model described in this paper, has been experimentally confirmed by: https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1006424

Mots clés: unconscious; hysteresis; Preisach model; p-adic tree

Domaines: Systèmes dynamiques [math.DS]; Analyse fonctionnelle [math.FA]; Physique mathématique [math-ph]; Matière Condensée [cond-mat]; Psychologie

Giuseppe Iurato, Andrei Khrennikov. Hysteresis model of unconscious-conscious interconnection: Exploring dynamics on m-adic trees. p-Adic Numbers, Ultrametric Analysis and Applications, 2015, 7 (4), pp.312-321. ⟨10.1134/S2070046615040068⟩. ⟨hal-01433739⟩