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

Abstract

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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.

How to cite

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Chiralt, 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

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  1. Pars, L. A., A Treatise on Analytical Dynamics, Heinemann, London (1965). (1965) Zbl0125.12004
  2. Beletsky, U. V., Essays on the Motion of Celestial Bodies, Birkhäuser (2001). (2001) Zbl0974.70002MR1851904
  3. 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
  4. 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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