Bifurcations in the two imaginary centers problem
Cristina Chiralt; Beatriz Campos; Pura Vindel
Mathematica Bohemica (2011)
- Volume: 136, Issue: 4, page 405-414
- ISSN: 0862-7959
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topChiralt, Cristina, Campos, Beatriz, and Vindel, Pura. "Bifurcations in the two imaginary centers problem." Mathematica Bohemica 136.4 (2011): 405-414. <http://eudml.org/doc/196554>.
@article{Chiralt2011,
abstract = {In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs.},
author = {Chiralt, Cristina, Campos, Beatriz, Vindel, Pura},
journal = {Mathematica Bohemica},
keywords = {bifurcation; topological configuration; orbital structure; bifurcation; topological configuration; orbital structure},
language = {eng},
number = {4},
pages = {405-414},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bifurcations in the two imaginary centers problem},
url = {http://eudml.org/doc/196554},
volume = {136},
year = {2011},
}
TY - JOUR
AU - Chiralt, Cristina
AU - Campos, Beatriz
AU - Vindel, Pura
TI - Bifurcations in the two imaginary centers problem
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 4
SP - 405
EP - 414
AB - In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs.
LA - eng
KW - bifurcation; topological configuration; orbital structure; bifurcation; topological configuration; orbital structure
UR - http://eudml.org/doc/196554
ER -
References
top- Pars, L. A., A Treatise on Analytical Dynamics, Heinemann, London (1965). (1965) Zbl0125.12004
- Beletsky, U. V., Essays on the Motion of Celestial Bodies, Birkhäuser (2001). (2001) Zbl0974.70002MR1851904
- Cordero, A., Alfaro, J. Martínez, Vindel, P., 10.1023/A:1014545725377, Celestial Mechanics and Dynam. Astron. 82 (2002), 203-223. (2002) MR1894248DOI10.1023/A:1014545725377
- Campos, B., Alfaro, J. Martínez, Vindel, P., Periodic orbit structure of the two fixed centres problem, Proc. of the Third International Workshop on Positional Astronomy and Celestial Mechanics. Ed. A. López et al. (1996). (1996)
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