Convergence, Periodicity and Bifurcations for the Two-parameter Absolute-Difference Equation

DOI10.1080/10236190410001685049zbMath1066.39009OpenAlexW2064024472MaRDI QIDQ4654526

Candace M. Kent, Hassan Sedaghat

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1080/10236190410001685049

zbMATH Keywords

periodic solutionbifurcationsglobal asymptotic stabilityunbounded solutionoscillatory solutiongolden meanabsolute-difference equation

Mathematics Subject Classification ID

Related Items (5)

A note: all homogeneous second order difference equations of degree one have semiconjugate factorizations ⋮ Periodicity and convergence for \(x_{n+1}=| x_{n}-x_{n-1}|\). ⋮ Difference equations with absolute values ⋮ Periodicity and boundedness for the integer solutions to a minimum-delay difference equation ⋮ Global asymptotic stability for minimum-delay difference equations

Cites Work

• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Periodicity and convergence for \(x_{n+1}=| x_{n}-x_{n-1}|\).
• Period Three Implies Chaos
• Existence of solutions for certain singular difference equations

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