Chaos in a fractional order logistic map
2013 (English)In: Fractional Calculus and Applied Analysis, ISSN 1311-0454, Vol. 16, no 3, 511-519 p.Article in journal (Refereed) Published
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.
fractional calculus, dynamical systems, fractional dynamical systems, chaotic dynamics
Engineering and Technology
Research subject Engineering Science with specialization in Solid State Physics
IdentifiersURN: urn:nbn:se:uu:diva-204761DOI: 10.2478/s13540-013-0033-8ISI: 000320961500002OAI: oai:DiVA.org:uu-204761DiVA: diva2:641168