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

DOI10.1016/0022-247X(91)90318-TzbMath0826.39003OpenAlexW2052949402MaRDI QIDQ1192544

Roderick N. Lee, David C. Fisher, Elizabeth Knowles

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90318-t

zbMATH Keywords

periodic solutionsrecurrence relationLipschitz constantLipschitz continuous function

Mathematics Subject Classification ID

Topological dynamics (37B99) Discrete version of topics in analysis (39A12) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
• Bounds for the period of periodic orbits of dynamical systems
• Strict bounds for the period of periodic orbits of difference equations
• Periodic Points of Continuous Functions