3 papers
math-ph2018
Isochrony in 3D radial potentials. From Michel Hénon ideas to isochrone relativity: classification, interpretation and applications
Alicia Simon-Petit, Jérôme Perez, Guillaume Duval
Revisiting and extending an old idea of Michel Hénon, we geometrically and algebraically characterize the whole set of isochrone potentials. Such potentials are fundamental in pote…
math.DS2013
Integrability of potentials of degree . Second order variational equations between Kolchin solvability and Abelianity
Guillaume Duval, Andrzej J. Maciejewski
In our previous paper: Integrability of Homogeneous potentials of degree . An application of higher order variational equations, we tried to extract some particular stru…
math.DS2013
Integrability of Hamiltonian systems with homogeneous potentials of degrees . An application of higher order variational equations
Guillaume Duval, Andrzej J. Maciejewski
The present work is the first of a serie of two papers, in which we analyse the higher variational equations associated to natural Hamiltonian systems, in their attempt to give Gal…