33 citations · 59 across the 2 of their papers we have counts for
4 papers
Effect of the dynamical phases on the nonlinear amplitudes' evolution
Miguel D. Bustamante, Elena Kartashova
In this Letter we show how the nonlinear evolution of a resonant triad depends on the special combination of the modes' phases chosen according to the resonance conditions. This ph…
Dynamics of nonlinear resonances in Hamiltonian systems
Miguel D. Bustamante, Elena Kartashova
It is well known that the dynamics of a Hamiltonian system depends crucially on whether or not it possesses nonlinear resonances. In the generic case, the set of nonlinear resonanc…
Classical Gravitation as free Membrane Dynamics
Miguel D. Bustamante, Fabrice Debbasch, Marc-Etienne Brachet
The formulation of General Relativity in which the 4-dimensional space-time is embedded in a flat host space of higher dimension is reconsidered. New classes of embeddings (modeled…
Lagrangian, Hamiltonian and other Structures for the Heat Equation and Potential Burgers Equation
Miguel D. Bustamante, Sergio A. Hojman
In this work, we construct the general solution to the Heat Equation (HE) and to many tensor structures associated to the Heat Equation, such as Symmetries, Lagrangians, Poisson Br…