Kolmogorov-Arnold-Moser Theory and Symmetries for a Polynomial Quadratic Second Order Difference Equation

Kolmogorov-Arnold-Moser Theory and Symmetries for a Polynomial Quadratic Second Order Difference Equation

By using the Kolmogorov-Arnold-Moser (KAM) theory, we investigate the stability of two elliptic equilibrium points (zero equilibrium and negative equilibrium) of the difference equation <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi&...

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Bibliographic Details
Main Authors: Tarek F. Ibrahim, Zehra Nurkanović
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Mathematics
Subjects:
area-preserving map
difference equation
stability
bifurcation
Birkhoff normal form
KAM theorem
twist coefficient
symmetry
periodic solutions
Online Access:https://www.mdpi.com/2227-7390/7/9/790

Internet

https://www.mdpi.com/2227-7390/7/9/790

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