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Applied Mathematics and Nonlinear Sciences
Volume 1 (2016): Issue 2 (July 2016)
Open Access
Poisson and symplectic reductions of 4–DOF isotropic oscillators. The van der Waals system as benchmark
F. Crespo
F. Crespo
,
G. Díaz-Toca
G. Díaz-Toca
,
S. Ferrer
S. Ferrer
and
M. Lara
M. Lara
| Oct 13, 2016
Applied Mathematics and Nonlinear Sciences
Volume 1 (2016): Issue 2 (July 2016)
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Published Online:
Oct 13, 2016
Page range:
473 - 492
Received:
Mar 12, 2016
Accepted:
Oct 10, 2016
DOI:
https://doi.org/10.21042/AMNS.2016.2.00038
Keywords
Hamiltonian systems
,
isotropic oscillator
,
normal form
,
singular reduction
,
relative equilibria
© 2016 F. Crespo, G. Díaz–Toca, S. Ferrer, M. Lara, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
F. Crespo
Departamento de Matemática, Facultad de Ciencias Universidad del Bío-Bío
Concepción, Chile
G. Díaz-Toca
Departamento de Ingeniería y Tecnología de Computadores Universidad de Murcia
Murcia, Spain
S. Ferrer
Departamento de Ingeniería y Tecnología de Computadores Universidad de Murcia
Murcia, Spain
M. Lara
Space Dynamics Group Polytechnic University of Madrid –UPM
Madrid, Spain