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

Direct link
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, 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
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: 2014-01-31Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Munkhammar, Joakim
By organisation
Solid State Physics
In the same journal
Fractional Calculus and Applied Analysis
Engineering and Technology

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: 490 hits
ReferencesLink to record
Permanent link

Direct link