86 citations · 632 across the 48 of their papers we have counts for
6 papers · 1 filter
Classical Nambu brackets in higher dimensions
Cristel Chandre, Atsushi Horikoshi
We consider n-linear Nambu brackets in dimension N higher than n. Starting from a Hamiltonian system with a Poisson bracket and K Casimir invariants defined in the phase space of d…
Numerical computation of critical surfaces for the breakup of invariant tori in Hamiltonian systems
Adrian P. Bustamante, Cristel Chandre
We compute the critical surface for the existence of invariant tori of a family of Hamiltonian systems with two and three degrees of freedom. We use and compare two methods to comp…
Bogolyubov's averaging theorem applied to the Kramers-Henneberger Hamiltonian
Elena Floriani, Jonathan Dubois, Cristel Chandre
We apply Bogolyubov's averaging theorem to the motion of an electron of an atom driven by a linearly polarized laser field in the Kramers-Henneberger frame. We provide estimates of…
Hamiltonian fluid reduction of the 1.5D Vlasov-Maxwell equations
Cristel Chandre, Bradley A. Shadwick
We consider the Vlasov-Maxwell equations with one spatial direction and two momenta, one in the longitudinal direction and one in the transverse direction. By solving the Jacobi id…
Dynamical organization of recollisions by a family of invariant tori
Jonathan Dubois, Marc Jorba-Cusco, {À}ngel Jorba +1
We consider the motion of an electron in an atom subjected to a strong linearly polarized laser field. We identify the invariant structures organizing a very specific subset of tra…
Notebook articles: towards a transformative publishing experience in nonlinear science
Cristel Chandre, Jonathan Dubois
Open Science, Reproducible Research, Findable, Accessible, Interoperable and Reusable (FAIR) data principles are long term goals for scientific dissemination. However, the implemen…