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Chaos in a Restricted Charged Four-Body Problem

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Predictability, Stability, and Chaos in N-Body Dynamical Systems

Part of the book series: NATO ASI Series ((NSSB,volume 272))

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Abstract

A restricted charged four body problem is considered which reduces to a two degrees of freedom Hamiltonian system. It is shown that an appropiate restriction of a Poincaré map of the system is conjugate to the shift homeomorphism on a certain symbolic alphabet.

Partially supported by a grant of the CGICT no.PB86-0351 and DGICYT no.BE90-135.

Partially supported by Instituto Nacional de Investigaçao Cientifica

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References

  1. Simó, C. and Martinez, R.: 1988, ‘Qualitative study of the planar isosceles three-body Problem’, Celestial Mechanics, 41, 179–251.

    Article  ADS  Google Scholar 

  2. Atela, P.: ‘The Charged Isosceles 3-Body Problem’, preprint.

    Google Scholar 

  3. Casasayas, J. and Llibre, J.: 1984, ‘Qualitative analysis of the anisotropic Kepler problem’, Memoirs of the AMS, 52 (312), November.

    Google Scholar 

  4. McGehee, R.: 1974, ‘Triple collision in the collinear three-body problem’. Invent. Math. 27, 191–227.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Moser, J.: 1973, Stable and Random Motions in Dynamical Systems, Princeton Univ. Press (Study 77), N.J. University Press.

    MATH  Google Scholar 

  6. Devaney, R.L.: 1978, ‘Collision Orbits in the Anisotropic Kepler problem’. Invent. Math. 45, 221–251.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Casasayas, J. and Nunes, A.: 1990, ‘A restricted charged four-body problem’. Celestial Mechanics and Dynamical Astronomy 47, 245–260.

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Departament de Matemàtica Aplicada i Anàlisi, Facultat de Matemàtiques, Universitat de Barcelona, Barcelona, Spain

    J. Casasayas

  2. Departamento de Física, Faculdade de Ciencias, Universidade de Lisboa, Lisboa, Portugal

    A. Nunes

Authors
  1. J. Casasayas
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  2. A. Nunes
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Editor information

Editors and Affiliations

  1. University of Glasgow, Glasgow, UK

    Archie E. Roy

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© 1991 Plenum Press, New York

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Casasayas, J., Nunes, A. (1991). Chaos in a Restricted Charged Four-Body Problem. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_1

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  • DOI: https://doi.org/10.1007/978-1-4684-5997-5_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5999-9

  • Online ISBN: 978-1-4684-5997-5

  • eBook Packages: Springer Book Archive

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