L. Salasnich, ON THE LIMIT-CYCLE OF AN INFLATIONARY UNIVERSE, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 112(6), 1997, pp. 873-880
We study the dynamics of a scalar inflaton field with a symmetric doub
le-well potential and prove rigorously the existence of a limit cycle
in its phase space. By using analytical and numerical arguments we sho
w that the limit cycle is stable and give an analytical formula for it
s period.