uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Dynamics of Collective Decisions in a Time-Dependent Environment
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, ISSN 0218-1274, Vol. 24, no 8, 1440010- p.Article in journal (Refereed) Published
Abstract [en]

The field of dynamical systems had been revolutionized by the seminal work of Leonid Shil'nikov. As a tribute to his genius we analyze in this paper the response of dynamical systems to systematic variations of a control parameter in time, using a normal form approach. Explicit expressions of the normal forms and of their parameter dependences are derived for a class of systems possessing multiple steady-states associated to collective choices between several options in group-living organisms, giving rise to bifurcations of the pitchfork and of the limit point type. Depending on the conditions, delays in the transitions between states, stabilization of metastable states, or on the contrary enhancement of the choice of the most rewarding option induced by the time dependence of the parameter are identified.

Place, publisher, year, edition, pages
2014. Vol. 24, no 8, 1440010- p.
Keyword [en]
Normal forms, dynamical bifurcations, collective behavior, mathematical biology
National Category
URN: urn:nbn:se:uu:diva-233604DOI: 10.1142/S0218127414400100ISI: 000341494900011OAI: oai:DiVA.org:uu-233604DiVA: diva2:753883
Available from: 2014-10-09 Created: 2014-10-07 Last updated: 2014-10-09Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Nicolis, Stamatios C.
By organisation
Department of Mathematics
In the same journal
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 145 hits
ReferencesLink to record
Permanent link

Direct link