Periodic solutions of the Lyness max equation.

DOI10.1016/S0022-247X(03)00587-0zbMath1042.39002MaRDI QIDQ1421181

Jeffrey Feuer

Publication date: 26 January 2004

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

zbMATH Keywords

periodic solutionsdifference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items (13)

Global behavior of solutions of the generalized Lyness difference equations under quadratic perturbations ⋮ On the relationship between Lozi maps and max-type difference equations ⋮ A survey on max-type difference equations ⋮ Solution of the maximum of difference equation \(x_{n + 1} = \max \left\{\frac{A}{x_{n-1}}, \frac{y_{n}}{x_{n}}\right\};\,\,y_{n+1} = \max\left\{\frac{A}{y_{n-1}},\frac{x_{n}}{y_{n}}\right\}\) ⋮ On the recursive sequence \(x_{n+1} = \max\{x_n,A\}/x_n^2x_{n - 1}\) ⋮ On periodic orbits in discrete-time cascade systems ⋮ On the periodicity of a difference equation with maximum ⋮ A note on the periodicity of the Lyness max equation ⋮ A general method for studying quadratic perturbations of the third-order Lyness difference equation ⋮ On the max-type equation \(x_{n+1} = \max \{1/x_n, A_nx_{n-1}\}\) with a period-two parameter ⋮ Dynamics of the Lyness Max MapT(x,y)= \left( y,{{max(A,y)} \over {x}} \right) ⋮ On the solutions of the system of difference equations \(x_{n+1}=\max\{A/x_n,y_n/x_n\}\), \(y_{n+1}=\max\{A/y_n,x_n/y_n\}\) ⋮ Periods of a max-type equation

Cites Work

• A piecewise linear model for the zones of instability of an area- preserving map
• On rational recursive sequences
• Open problems and conjectures
• Open problems and conjectures
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