Instabilities, Point Attractors and Limit Cycles in a Inflationary Universe

Abstract

We study the stability of a scalar inflaton field and analyze its point attractors in the phase space. We show that the value of the inflaton field in the vacuum is a bifurcation parameter and prove the possible existence of a limit cycle by using analytical and numerical arguments.

Latex, 11 pages, 3 figures (available upon request), to be published in Modern Physics Letters A

Cited by in corpus (4)

• On the number of limit cycles of the Lienard equation
• A class of exact solutions of the Liénard type ordinary non-linear differential equation
• Instability and Chaos in Spatially Homogeneous Field Theories
• Quantum Chaos in the Yang-Mills-Higgs System at Finite Temperature