A Note on the Non-Integrability of Some Hamilitonian Systems with a Homogeneous Potential

By Juan J. Morales-Ruiz, J. Ramis. 2001

91 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/80b8340a8932e339db5694c758add3b6b1bc7014

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. J. J. M. Ruiz
2. Andrzej J. Maciejewski
3. Maria Przybylska
4. J. Ramis

In Statistical and Nonlinear Physics

1. J. J. M. Ruiz
2. Andrzej J. Maciejewski
3. Maria Przybylska
4. J. Ramis

Citations in the corpus

• Galosian Obstructions to Integrability of Hamiltonian Systems II (2001, methodology): “In [49, 50] we apply some results of this paper to various non academic problems: Hamiltonian systems with homogeneous potentials, three body problems, homogeneous cosmological model,.”
• Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential (2005, methodology): “This fact combined with Theorem A.1 was used by J. J. Morales-Ruiz and J. P. Ramis to formulate in [ 34 ] a general theorem concerning the integrability of Hamiltonian systems with a homogeneous potential.”