# Talk:Hamiltonian systems

From Scholarpedia

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