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THIRD DERIVATIVES OF THE INTEGRABLE PART OF AN ASTEROID HAMILTONIAN
Celestial mechanics-Minor planets asteroids
2009/2/16
To apply the theorem of Nekhoroshev (1977) to asteroids, one ¯rst
has to check whether a necessary geometrical condition is ful¯lled: either convexity,
or quasi-convexity, or only a 3-jet ...
On the Non-integrability of a Class of Hamiltonian Cosmological Models
the Non-integrability Hamiltonian Cosmological Models
2005/12/31
The method of Morales and Ramis determines whether a given Hamiltonian system is non-integrable. We apply this method to Friedmann Robertson Walker models with a self-interacting scalar field and cosm...