Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation
Joint Authors
Mehuljić, M.
Kalabušić, Senada
Kulenovic, Mustafa R. S.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-27
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate the local stability and the global asymptotic stability of the difference equation xn+1=αxn2+βxnxn-1+γxn-1/Axn2+Bxnxn-1+Cxn-1, n=0,1,… with nonnegative parameters and initial conditions such that Axn2+Bxnxn-1+Cxn-1>0, for all n≥0.
We obtain the local stability of the equilibrium for all values of parameters and give some global asymptotic stability results for some values of the parameters.
We also obtain global dynamics in the special case, where β=B=0, in which case we show that such equation exhibits a global period doubling bifurcation.
American Psychological Association (APA)
Kalabušić, Senada& Kulenovic, Mustafa R. S.& Mehuljić, M.. 2014. Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-508209
Modern Language Association (MLA)
Kalabušić, Senada…[et al.]. Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-508209
American Medical Association (AMA)
Kalabušić, Senada& Kulenovic, Mustafa R. S.& Mehuljić, M.. Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-508209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508209
