Index Theory for Symplectic Paths with Applications

Released on by Yiming Long
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  • Index Theory for Symplectic Paths with Applications Book Detail

  • Author : Yiming Long
  • Release Date : 2012-12-06
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 393
  • ISBN 13 : 3034881754
  • File Size : 27,27 MB
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Index Theory for Symplectic Paths with Applications by Yiming Long PDF Summary

Book Description: This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems. The applications of these concepts yield new approaches to some outstanding problems. Particular attention is given to the minimal period solution problem of Hamiltonian systems and the existence of infinitely many periodic points of the Poincaré map of Lagrangian systems on tori.

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