# Talk:Hamiltonian systems

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

   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

## User 4:

In equation (12) what is the variable "x"?

Thanks. Fixed

Jim Meiss