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Chaos in a fractional order logistic map
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Solid State Physics.
2013 (English)In: Fractional Calculus and Applied Analysis, ISSN 1311-0454, E-ISSN 1314-2224, Vol. 16, no 3, 511-519 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we investigate a fractional order logistic map and its discrete time dynamics. After a brief introduction to the discrete-time dynamical systems and fractional dynamics we show some basic properties of the fractional logistic map. We then move on to prove that the special case alpha = 1/2 exhibits a period doubling route to chaos. A bifurcation diagram for the special case of alpha = 1/2 is also included. Finally a discussion concerning the results and open problems is given.

Place, publisher, year, edition, pages
2013. Vol. 16, no 3, 511-519 p.
Keyword [en]
fractional calculus, dynamical systems, fractional dynamical systems, chaotic dynamics
National Category
Engineering and Technology
Research subject
Engineering Science with specialization in Solid State Physics
Identifiers
URN: urn:nbn:se:uu:diva-204761DOI: 10.2478/s13540-013-0033-8ISI: 000320961500002OAI: oai:DiVA.org:uu-204761DiVA: diva2:641168
Available from: 2013-08-15 Created: 2013-08-12 Last updated: 2017-12-06Bibliographically approved

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Munkhammar, Joakim

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