Phase Transitions, Chaos and Joint Action in the Life Space Foam

Simple item page
dc.creatorIvancevic, Vladimir
dc.creatorAidman, Eugene
dc.creatorYen, Leong
dc.creatorReid, Darryn
dc.date2008-06-04
dc.date.accessioned2026-07-07T09:42:38Z
dc.date.available2026-07-07T09:42:38Z
dc.descriptionThis paper extends our recently developed Life Space Foam (LSF) model of motivated cognitive dynamics \cite{IA}. LSF uses adaptive path integrals to generate Lewinian force--fields on smooth manifolds, in order to characterize the dynamics of individual goal--directed action. According to explanatory theories growing in acceptance in cognitive neuroscience, one of the key properties of this dynamics, capable of linking it to microscopic-level cortical neurodynamics, is its meta-stability and the resulting phase transitions. Our extended LSF model incorporates the notion of phase transitions and complements it with embedded geometrical chaos. To describe this LSF phase transition, a general path--integral is used, along the corresponding LSF topology change. As a result, our extended LSF model is able to rigorously represent co-action by two or more actors in the common LSF--manifold. The model yields substantial qualitative differences in geometrical properties between bilateral and multi-lateral co-action due to intrinsic chaotic coupling between $n$ actors when $n\geq 3$. Keywords: cognitive dynamics, adaptive path integrals, phase transitions, chaos, topology change, human joint action, function approximation
dc.description20 pages, no figures, elsart
dc.identifierhttps://arxiv.org/abs/0806.0690
dc.identifierhttp://arxiv.org/abs/0806.0690
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162252
dc.subjectNeurons and Cognition
dc.subjectOther Quantitative Biology
dc.titlePhase Transitions, Chaos and Joint Action in the Life Space Foam
dc.typetext

Files

Collections

arXiv