Browsing by Author "Ogul, B."

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    Dynamical Analysis and Solutions of Nonlinear Difference Equations of Thirty Order
    (Emrah Evren KARA, 2024) Ogul, B.; Şimşek, D.
    Discrete-time systems are sometimes used to explain natural phenomena that happen in nonlinear sciences. We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations in this paper. Using the standard iteration method, exact solutions are obtained. Some well-known theorems are used to test the stability of the equilibrium points. Some numerical examples are also provided to confirm the theoretical work’s validity. The numerical component is implemented with Wolfram Mathematica. The method presented may be simply applied to other rational recursive issues. In this paper, we explore the dynamics of adhering to a rational difference formula (FORMULA PRESENTED) where the initials are arbitrary nonzero real numbers. © 2024, Emrah Evren KARA. All rights reserved.
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    Article
    Citation - Scopus: 1
    Dynamical Behavior of the Rational Difference Equation Xn+1 = Xn-13/±1 ± Xn-1Xn-3Xn-5Xn-7Xn-9Xn-11Xn-13
    (Springer, 2024) Simsek, D.; Ogul, B.; Abdullayev, F. G.
    Discrete-time systems are sometimes used to explain natural phenomena encountered in nonlinear sciences. We study the periodicity, boundedness, oscillation, stability, and some exact solutions of nonlinear difference equations. Exact solutions are obtained by using the standard iterative method. Some well-known theorems are used to test the stability of equilibrium points. Some numerical examples are also provided to confirm the validity of the theoretical results. The numerical component is implemented with the Wolfram Mathematica. The presented method may be simply applied to some other rational recursive issues. We explore the dynamics of adhering to the rational difference formula x(n+1) = x(n-13)/+/- 1 +/- x(n-1)x(n-3)x(n-5)x(n-7)x(n-9)x(n-11)x(n-13), where the initials are arbitrary nonzero real numbers.