A closed-form solution in a dynamical system related to Bianchi IX

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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3 pages, to appear, Physics Letters A

Scientific paper

10.1063/1.2723554

The Bianchi IX cosmological model in vacuum can be represented by several
six-dimensional dynamical systems. In one of them we present a new closed form
solution expressed by a third Painleve' function.

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