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Publication:3298371
zbMath1485.39029MaRDI QIDQ3298371
Publication date: 14 July 2020
Full work available at URL: http://online.watsci.org/abstract_pdf/2020v27/v27n2a-pdf/2.pdf
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Elliptic curves (14H52) Relationships between algebraic curves and integrable systems (14H70) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Multiplicative and other generalized difference equations (39A20) Integrable difference and lattice equations; integrability tests (39A36)
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Cites Work
- 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
- Integrable mappings and soliton equations
- Studying discrete dynamical systems through differential equations
- 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
- ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS
- A QRT-System of Two Order One Homographic Difference Equations: Conjugation to Rotations, Periods of Periodic Solutions, Sensitiveness to Initial Conditions
- Global Behavior of the Solutions of Lyness' Difference Equation
- A BIQUADRATIC SYSTEM OF TWO ORDER ONE DIFFERENCE EQUATIONS: PERIODS, CHAOTIC BEHAVIOR OF THE ASSOCIATED DYNAMICAL SYSTEM
- Rational Points on Elliptic Curves
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