Global dynamics of quadratic second order difference equation in the first quadrant

We investigate the global behavior of a quadratic second order difference equationxn+1=Axn2+Bxnxn-1+Cxn-12+Dxn+Exn-1+F,n=0,1,…with non-negative parameters and initial conditions. We find the global behavior for all ranges of parameters and determine the basins of attraction of all equilibrium points...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 227; pp. 50 - 65
Main Authors Bektešević, J., Kulenović, M.R.S., Pilav, E.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.01.2014
Subjects
Attractivity
Basins
Computation
Difference equation
Difference equations
Dynamics
Invariant
Mathematical models
Period-two solutions
Quadrants
Stable manifold
Unstable manifold
Stable manifold
Invariant
Basins
Attractivity
Unstable manifold
Difference equation
Period-two solutions
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Summary:We investigate the global behavior of a quadratic second order difference equationxn+1=Axn2+Bxnxn-1+Cxn-12+Dxn+Exn-1+F,n=0,1,…with non-negative parameters and initial conditions. We find the global behavior for all ranges of parameters and determine the basins of attraction of all equilibrium points.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.10.048