Global Stability Analysis of a Certain Second-Order Rational Difference Equation with Nonlinear Terms

Autor:	Midhat Mehuljić, Vahidin Hadžiabdić, Jasmin Bektešević, Adnan Mašić, Fatih Destović
Rok vydání:	2022
Předmět:	Information Systems and Management Management of Technology and Innovation Strategy and Management Computer Science (miscellaneous) Education Information Systems
Zdroj:	TEM Journal. :1924-1929
ISSN:	2217-8333 2217-8309
DOI:	10.18421/tem114-61
Popis:	In this paper we observed the global dynamics and the occurrence of a certain bifurcation for the corresponding values of a certain rational difference equation of the second order with analyzed quadratic terms. The analysis of the local stability of the unique equilibrium point, as well as the unique periodic solution of period two, was performed in detail. The constraint of the equations on both sides for the corresponding values of the parameters is proved and on this basis the global stability is analyzed. The existence of Neimark-Sacker bifurcation with respect to the arrangement of equilibrium points has been proven. Thus, the basins of attraction have been determined in full for all the positive values of the parameters and all the positive initial conditions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b66cff78b9fcd722bffcbdd5b08adca0 https://doi.org/10.18421/tem114-61 Zobrazit plný text záznamu