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Hamiltonian structure of averaged difference systems

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Publication:919679
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DOI10.1007/BF01158418zbMath0707.58021MaRDI QIDQ919679

V. L. Vereshchagin

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

dynamical systemaveraged difference equationsaveraged Poisson bracketsHamiltonian difference


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items (4)

Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds ⋮ Asymptotics of solutions of the discrete string equation ⋮ Whitham equations for one-phase solutions of Volterra lattice ⋮ Invariant manifolds and separation of the variables for integrable chains



Cites Work

  • On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
  • Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
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