Periodicity and convergence for \(x_{n+1}=| x_{n}-x_{n-1}|\).

DOI10.1016/J.JMAA.2003.10.018zbMath1041.39008OpenAlexW1965245321MaRDI QIDQ1426061

Hassan Sedaghat

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.018

zbMATH Keywords

convergencesnap-back repellerfixed pointperiodic solutioncycleschaotic behaviorFibonacci numbersdifference equation

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

The Li-Yorke theorem and infinite discontinuities ⋮ Difference equations with absolute values ⋮ An example of unbounded chaos ⋮ Convergence, Periodicity and Bifurcations for the Two-parameter Absolute-Difference Equation ⋮ Periodicity and boundedness for the integer solutions to a minimum-delay difference equation ⋮ Global asymptotic stability for minimum-delay difference equations

Cites Work

• Dynamics in one dimension
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Period Three Implies Chaos
• Convergence, Periodicity and Bifurcations for the Two-parameter Absolute-Difference Equation
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