On the algebraic difference equations \(u_{n+2}+u_{n}=\psi (u_{n+1})\) in \(\mathbb R\), related to a family of elliptic quartics in the plane
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Publication:865301
DOI10.1016/j.jmaa.2006.02.095zbMath1114.39004OpenAlexW1989005614MaRDI QIDQ865301
Publication date: 14 February 2007
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.2006.02.095
fixed pointinvariant curvesperiodsdiscrete dynamical systemrational difference equationWeierstrass' elliptic functions
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Cites Work
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- Global Behavior of the Solutions of Lyness' Difference Equation
- ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES
- Integrable mappings via rational elliptic surfaces
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