Zobrazeno 1 - 10
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pro vyhledávání: '"Ferrer, Sebastián"'
Autor:
Ferrer, Sebastian, Crespo, Francisco
The $\mathcal{KS}$ map is revisited in terms of an $S^1$-action in $T^*\mathbb{H}_0$ with the bilinear function as the associated momentum map. Indeed, the $\mathcal{KS}$ transformation maps the $S^1$-fibers related to the mentioned action to single
Externí odkaz:
http://arxiv.org/abs/1711.08530
We study the integrable system of first order differential equations $\omega_i(v)'=\alpha_i\,\prod_{j\neq i}\omega_j(v)$, $(1\!\leq i, j\leq\! N)$ as an initial value problem, with real coefficients $\alpha_i$ and initial conditions $\omega_i(0)$. Th
Externí odkaz:
http://arxiv.org/abs/1505.06142
Autor:
Lara, Martin, Ferrer, Sebastián
Publikováno v:
European Journal of Physics, Vol. 36, num. 5, 2015, 055040
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 transformation to action-angle variables may need to remain in implicit for
Externí odkaz:
http://arxiv.org/abs/1503.03358
This paper is devoted to studying Hamiltonian oscillators in 1:1:1:1 resonance with symmetries, which include several models of perturbed Keplerian systems. Normal forms are computed in Poisson and symplectic formalisms, by mean of invariants and Lie
Externí odkaz:
http://arxiv.org/abs/1502.02196
Autor:
Lara, Martin, Ferrer, Sebastián
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 suitability for approaching perturbed rigid-body motion. But they are just on
Externí odkaz:
http://arxiv.org/abs/1101.0229
Autor:
Ferrer, Sebastián
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 Kepler systems. This approach made transparent that only when we refe
Externí odkaz:
http://arxiv.org/abs/1011.3000
Autor:
Ferrer, Sebastián, Lara, Martin
Publikováno v:
Journal of Geometric Mechanics, Vol. 2, No. 3, 2010, p. 223-241
The Hamilton-Jacobi equation in the sense of Poincar\'e, i.e. formulated in the extended phase space and including regularization, is revisited building canonical transformations with the purpose of Hamiltonian reduction. We illustrate our approach d
Externí odkaz:
http://arxiv.org/abs/0906.5312
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Akademický článek
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Autor:
Ferrer, Sebastián1 (AUTHOR) sferrer@um.es, Crespo, Francisco2 (AUTHOR) fcrespo@ubiobio.cl
Publikováno v:
Journal of Geometric Mechanics. Sep2018, Vol. 10 Issue 3, p359-N.PAG. 14p.
