21 citations · 40 across the 6 of their papers we have counts for
6 papers
Alternative Angle-Based Approach to the KS-Map. An Interpretation Through Symmetry and Reduction
Sebastian Ferrer, Francisco Crespo
The map is revisited in terms of an -action in with the bilinear function as the associated momentum map. Indeed, the transform…
On the N-Extended Euler System I. Generalized Jacobi Elliptic Functions
Sebastián Ferrer, Francisco Crespo, Francisco Javier Molero
We study the integrable system of first order differential equations , as an initial value problem, with real coefficie…
Expanding the simple pendulum's rotation solution in action-angle variables
Martin Lara, Sebastián Ferrer
Integration of Hamiltonian systems by reduction to action-angle variables has proven to be a successful approach. However, when the solution depends on elliptic functions the trans…
Integration of the Euler-Poinsot Problem in New Variables
Martin Lara, Sebastián Ferrer
The essentially unique reduction of the Euler-Poinsot problem may be performed in different sets of variables. Action-angle variables are usually preferred because of their suitabi…
The Projective Andoyer transformation and the connection between the 4-D isotropic oscillator and Kepler systems
Sebastián Ferrer
Extending to 4 degrees of freedom a symplectomorphism used in attitude dynamics it is shown in a direct way the connection between the 4-D isotropic harmonic oscillator and the 3-D…
Families of Canonical Transformations by Hamilton-Jacobi-Poincaré equation. Application to Rotational and Orbital Motion
Sebastián Ferrer, Martin Lara
The Hamilton-Jacobi equation in the sense of Poincaré, i.e. formulated in the extended phase space and including regularization, is revisited building canonical transformations wit…