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Integrability of the Mixmaster Universe

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Part of the book series: NATO ASI Series ((NSSB,volume 332))

Abstract

We show that the Mixmaster Universe, or Bianchi IX, model passes the Painlevé test, i.e. the solutions of the equations of motion have only poles as movable singularities. Thus this system is probably integrable and therefore non-chaotic.

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© 1994 Springer Science+Business Media New York

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Contopoulos, G., Grammaticos, B., Ramani, A. (1994). Integrability of the Mixmaster Universe. In: Hobill, D., Burd, A., Coley, A. (eds) Deterministic Chaos in General Relativity. NATO ASI Series, vol 332. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9993-4_23

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  • DOI: https://doi.org/10.1007/978-1-4757-9993-4_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9995-8

  • Online ISBN: 978-1-4757-9993-4

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