Strict bounds for the period of periodic orbits of difference equations

DOI10.1016/0022-247X(89)90327-2zbMath0683.39004MaRDI QIDQ1824777

David C. Fisher

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionlargest eigenvalueautonomous difference equationperiod orbitsstrict bounds for the period

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (1)

If \(f\) has Lipschitz constant less than 2.17008, then \(x_{i+1}=x_ i+f(x_ i)\) has no odd periodic solutions

Cites Work

• Unnamed Item
• Bounds for the period of periodic orbits of dynamical systems
• Bounds for periodic solutions of differential equations in Banach spaces
• Shorter Notes: Better Bounds for Periodic Solutions of Differential Equations in Banach Spaces
• Minimal Periods of Discrete and Smooth Orbits
• Periods of Periodic Solutions and the Lipschitz Constant

This page was built for publication: Strict bounds for the period of periodic orbits of difference equations