Talk:Hamiltonian systems

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Reviewer A

1. Introduction:

  (the variable is ignorable     change by
  (the variable is ignorable)

2. Introduction, next paragraph

  Not sure that the term "eigenvalue of a trajectory"
  is standard.

3. the same paragraph:

  ... center ... saddle ...
  There are also two degenerate cases.

4. next paragraph:

   then they must lie on n-dimensional tori
       change by
   then almost all of them must lie ...

5. N-body problem

   V(...) = \sum ...
       change by
   V(...) = - \sum ...

6. N-body problem

   H(...) =  ... + Gm_1 m_2 / ||q||
       change by
   H(...) =  ... - Gm_1 m_2 / ||q||

7. Electromagnetic forces.

   electrogmagetic  change by  electromagnetic

8. Geometric structure.

   More abtractly   change by  More abstractly

9. Symplectic maps

   Another why    change by   Another way
   Lie Algebra    change by   Lie algebra

10. Action-angle variables

   Thus is it is   change by   Thus it is

11. Liouville integrability

   is a simple as    change by   is as simple as

12. KAM Theory

   approaches one   change by something like
   approaches total measure



Thanks. I've put your suggestions into the article

Jim Meiss


note

Please , can you add to your "see also" the article of Alain Chenciner : three body problem ? Thank you. And we will try to unify notations !

--Guerinsylvie 05:10, 27 August 2007 (EDT)


Done.

Jim Meiss

For authors