Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-03-06
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages; third version with major changes in the fifth section
Scientific paper
This is the second part of integrability analysis of cosmological models with
scalar fields. Here, we study systems with conformal coupling, and show that
apart from four cases, where explicit first integrals are known, the generic
system is not integrable. We also comment on some chaotic properties of the
system, and the issues of integrability restricted to the real domain.
Przybylska Maria
Stachowiak Tomasz
Szydlowski Marek
~Maciejewski Andrzej J.
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