Integrable discrete systems and numerical integrators

DOI10.1016/0378-4754(94)00023-9zbMath0826.65067OpenAlexW1975466995MaRDI QIDQ1344301

Basile Grammaticos, Bernadette Dorizzi

Publication date: 4 December 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(94)00023-9

zbMATH Keywords

numerical resultssymbolic computationHamiltonian systemnonlinear dynamical systemsPainlevé equationsnumerical integrators

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (2)

Symmetry analysis of an integrable Itô coupled system ⋮ From integrability to chaos in a Lotka-Volterra cellular automaton

Cites Work

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• On integrable mappings of standard type
• Symplectic Runge-Kutta and related methods: Recent results
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• A method of linearization for Painlevé equations: Painlevé IV, V
• Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Symplectic integration of Hamiltonian systems
• The inverse scattering transform: Semi-infinite interval
• Nonlinear differential–difference equations and Fourier analysis
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?

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