6533b7d7fe1ef96bd1267c2e

RESEARCH PRODUCT

Hysteresis Model of Unconscious-Conscious Interconnection: Exploring Dynamics on m-Adic Trees

Andrei KhrennikovGiuseppe Iurato

subject

InterconnectionhysteresiUnconscious mindm-adic treeGeneral Mathematics[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Representation (systemics)unconscious[SHS.PSY]Humanities and Social Sciences/Psychologyunconsciou[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]Focus (linguistics)AlgebraHysteresishysteresisp-adic treeDynamics (music)[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Algebra over a field[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]MathematicsPreisach model

description

The theoretical model outlined in this paper, has been experimentally validated by: H. Kim ,J-Y. Moon ,G.A. Mashour & U. Lee, ''Mechanisms of hysteresis in human brain networks during transitions of consciousness and unconsciousness: Theoretical principles and empirical evidence'', PLOS-Computational Biology, August 30, 2018, https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1006424; International audience; 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

10.1134/s2070046615040068http://hdl.handle.net/10447/149085