Phase Transitions, Chaos and Joint Action in the Life Space Foam
| Autor: | Ivancevic, Vladimir, Aidman, Eugene, Yen, Leong, Reid, Darryn |
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| Rok vydání: | 2008 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This 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 Comment: 20 pages, no figures, elsart |
| Databáze: | arXiv |
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