Global dynamics of cosmological scalar fields -- Part II

Abstract

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.

11 pages; third version with major changes in the fifth section