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- Title
GLOBAL DYNAMICS OF CERTAIN NON-SYMMETRIC SECOND ORDER DIFFERENCE EQUATION WITH QUADRATIC TERM.
- Authors
GARIĆ-DEMIROVIĆ, M.; HRUSTIĆ, S.; MORANJKIĆ, S.
- Abstract
We investigate global dynamics of the equation ... where the parameters a,F and f are positive numbers and the initial conditions x-1, x0 are arbitrary nonnegative numbers such that x-1 + x0 > 0. The existence and local stability of the unique positive equilibrium are analyzed algebraically. We characterize the global dynamics of this equation with the basins of attraction of its equilibrium point and periodic solutions. Key words and phrases. Difference equation, equilibrium, period-two solutions, local stability, global stability.
- Subjects
QUADRATIC equations; STATISTICAL equilibrium; DIFFERENCE equations; MATHEMATICS; NUMERICAL calculations
- Publication
Sarajevo Journal of Mathematics, 2019, Vol 15, Issue 2, p155
- ISSN
1840-0655
- Publication type
Article
- DOI
10.5644/SJM.15.02.02