Continuous versus discrete structures II -- Discrete Hamiltonian systems and Helmholtz conditions

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Cresson, Jacky ; Pierret, Frédéric (2015)
  • Subject: Mathematics - Dynamical Systems | Mathematics - Numerical Analysis
    acm: ComputingMethodologies_SIMULATIONANDMODELING

We define discrete Hamiltonian systems in the framework of discrete embeddings. An explicit comparison with previous attempts is given. We then solve the discrete Helmholtz's inverse problem for the discrete calculus of variation in the Hamiltonian setting. Several applications are discussed.
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