A new algorithm for proving global asymptotic stability of rational difference equations

DOI10.1080/10236198.2011.599804zbMath1266.39016arXiv1106.0932OpenAlexW2030012858MaRDI QIDQ4899080

Emilie Hogan, Doron Zeilberger

Publication date: 4 January 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0932

zbMATH Keywords

algorithmglobal asymptotic stabilityrational difference equationslocally asymptotic stabilitypolynomial positivitylinearized stability theorem

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Stability theory for smooth dynamical systems (37C75) Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30) Numerical methods for difference equations (65Q10)

Related Items (1)

Global asymptotic stability of a generalization of the Pielou difference equation

Uses Software

• Maple
• GAS

Cites Work

• Testing positiveness of polynomials
• Global asymptotic stability in some discrete dynamical systems
• Cylindrical Algebraic Decomposition I: The Basic Algorithm
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