39 citations · 163 across the 22 of their papers we have counts for
3 papers · 1 filter
Whiskered KAM Tori of Conformally Symplectic Systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
We investigate the existence of whiskered tori in some dissipative systems, called \sl conformally symplectic \rm systems, having the property that they transform the symplectic fo…
Existence of whiskered KAM tori of conformally symplectic systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
We study the existence of whiskered tori in a family of conformally symplectic maps depending on parameters . Whiskered tori are tori on which the motion is a rotation, bu…
Torus knot choreographies in the -body problem
Renato Calleja, Carlos García-Azpeitia, Jean-Philippe Lessard +1
We develop a systematic approach for proving the existence of choreographic solutions in the gravitational body problem. Our main focus is on spatial torus knots: that is, peri…