A Simple Method to Generate Integrable Symplectic Maps

  • O. Ragnisco
Part of the Research Reports in Physics book series (RESREPORTS)


We show that by taking stationary flows of integrable evolution equations on lattices one obtains integrable symplectic maps. We also tersely discuss an alternative method based on the so-called nonlinearization of a scattering problem, and elucidate its intimate connections with the previous one. A few examples of possibly interesting integrable maps are presented.


Toda Lattice Integrable Hamiltonian System Classical Integrable System Integrable Evolution Equation Canonical Poisson Bracket 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • O. Ragnisco
    • 1
    • 2
  1. 1.Dipartimento di FisicaUniversità degli Studi di Roma ”La Sapienza”RomaItaly
  2. 2.Sezione di RomaIstituto Nazionale di Fisica NucleareItaly

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