On the Limit Cycle of an Inflationary Universe

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Latex, 11 pages, 3 figures (available upon request), to be published in Nuovo Cimento B

Scientific paper

We study the dynamics of a scalar inflaton field with a symmetric
double--well potential and prove rigorously the existence of a limit cycle in
its phase space. By using analytical and numerical arguments we show that the
limit cycle is stable and give an analytical formula for its period.

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