On the Limit Cycle of an Inflationary Universe
classification
🌀 gr-qc
chao-dynhep-thnlin.CD
keywords
cyclelimitanalyticalargumentsdouble--welldynamicsexistencefield
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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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