C. Verhoeven

activity

20012012

most citedOn a generalization of the iterative soft-thresholding algorithm for the case of non-separable penalty

106 citations · 246 across the 12 of their papers we have counts for

collaborators

Showing 2005Show all

2 papers · 1 filter

nlin.SI2005★ 3 cited

Hamiltonians with two degrees of freedom admitting a singlevalued general solution

Robert Conte, Micheline Musette, Caroline Verhoeven

Following the basic principles stated by Painlevé, we first revisit the process of selecting the admissible time-independent Hamiltonians $H = (p_{1}^{2} + p_{2}^{2}) /2 + V (q_{1}, q_{2})$ whose some…

nlin.SI2005★ 17 cited

Completeness of the cubic and quartic Hénon-Heiles Hamiltonians

Robert Conte, Micheline Musette, Caroline Verhoeven

The quartic Hénon-Heiles Hamiltonian $H = (P_{1}^{2} + P_{2}^{2}) /2 + (Ω_{1} Q_{1}^{2} + Ω_{2} Q_{2}^{2}) /2 + C Q_{1}^{4} + B Q_{1}^{2} Q_{2}^{2} + A Q_{2}^{4} + (1/2) (α / Q_{1}^{2} + β / Q_{2}^{2}) - γ Q_{1}$ passes the Painlevé test for onl…