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A gradient flow approach to the model of positive feedback in decision-making
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
2015 (English)In: Chaos, Solitons & Fractals, ISSN 0960-0779, E-ISSN 1873-2887, Vol. 77, 215-224 p.Article in journal (Refereed) Published
Abstract [en]

Recent studies on social dynamics have been done by using tools and methods of physics and economics.. The main idea is that the regularity observed on a global scale arises out of local interactions between the group members. We consider the model describing one of the major interaction mechanism, the model of positive feedback. We propose a geometrical reformulation of this model in terms of gradient flow equations on a Riemannian manifold. The benefit of this reformulation is that we introduce an alternative method to study phenomena of the well known model. We suggest the analogy with a particle moving on curved manifold. We believe that this analogy will allow us to extend powerful mathematical tools from analytical mechanics to the biological systems.

Place, publisher, year, edition, pages
2015. Vol. 77, 215-224 p.
Keyword [en]
Mathematical model of positive feedback in decision making, Gradient flow equations, Differential geometry
National Category
URN: urn:nbn:se:uu:diva-261246DOI: 10.1016/j.chaos.2015.05.027ISI: 000358970500022OAI: oai:DiVA.org:uu-261246DiVA: diva2:851707
Available from: 2015-09-07 Created: 2015-08-31 Last updated: 2016-02-17Bibliographically approved

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Zabzina, Natalia
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Applied Mathematics and Statistics
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