27 citations · 127 across the 32 of their papers we have counts for
4 papers · 1 filter
Hamiltonian reduction from particular integrals
R. Azuaje, A. M. Escobar-Ruiz, I. Gutierrez-Sagredo
We develop a geometric reduction mechanism generated by systems of particular integrals, namely, families of functions whose time derivatives close linearly on the family. Their co…
Nonlinear Lissajous orbits and particular superintegrability
A. M. Escobar-Ruiz, R. Azuaje
We investigate the geometry of classical trajectories generated by separable two-dimensional polynomial potentials of the form , wher…
Nodal algebraic curves and entropy diagnostics in degenerate two-dimensional harmonic-oscillator shells
C A Escobar Ruiz, H Olivares-Pilon, A M Escobar-Ruiz
Degeneracy allows the nodal structure of a quantum state to vary without changing its energy. We study this effect for real superpositions in the fixed-energy shells of the two-dim…
Superintegrability and choreographic obstructions in dihedral -body Hamiltonian systems
A M Escobar-Ruiz, M Fernandez-Guasti
We study planar -body Hamiltonians with quadratic pair interactions whose coupling pattern is invariant under the dihedral group . After the center of mass is removed, the…