Research on Stability and Bifurcation for Two-Dimensional Two-Parameter Squared Discrete Dynamical Systems

Autor:	Limei Liu, Xitong Zhong
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	two-dimensional two-parameter squared discrete dynamical systems Naimark–Sacker bifurcation transcritical bifurcation flip bifurcation stability Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 15, p 2423 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12152423
Popis:	This study investigates a class of two-dimensional, two-parameter squared discrete dynamical systems. It determines the conditions for local stability at the fixed points for these proposed systems. Theoretical and numerical analyses are conducted to examine the bifurcation behavior of the proposed systems. Conditions for the existence of Naimark–Sacker bifurcation, transcritical bifurcation, and flip bifurcation are derived using center manifold theorem and bifurcation theory. Results of the theoretical analyses are validated by numerical simulation studies. Numerical simulations also reveal the complex bifurcation behaviors exhibited by the proposed systems and their advantage in image encryption.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/60138e5e68af4be7aaa4116f2df4dcbf Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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