A Brief Discussion on Birkho Normal Forms, KAM Theory, Periodicity and Symmetries for Certain Rational Dierence Equation with Cubic Terms

Nurkanovic, Mehmed and Nurkanovic, Zehra (2020) A Brief Discussion on Birkho Normal Forms, KAM Theory, Periodicity and Symmetries for Certain Rational Dierence Equation with Cubic Terms. In: Theory and Practice of Mathematics and Computer Science Vol. 4. B P International, pp. 32-44. ISBN 978-93-90431-42-7

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Abstract

In this chapter, by using the Kolmogorov-Arnold-Moser (KAM) theory, we investigate the stability
of the positive elliptic equilibrium point of the dierence equation where the parameters A;B; a and the initial conditions x1; x0 are positive numbers. The specic
feature of this dierence equation is the fact that we were not able to use the invariant to prove
stability or to and feasible periods of the solutions

Item Type: Book Section
Subjects: OA Open Library > Computer Science
Depositing User: Unnamed user with email support@oaopenlibrary.com
Date Deposited: 14 Nov 2023 05:03
Last Modified: 14 Nov 2023 05:03
URI: http://archive.sdpublishers.com/id/eprint/2086

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