Physical Review D - Particles and Fields
We study the presence of chaotic behavior in phase space in the preinflationary stage of hybrid inflation models. This is closely related to the problem of initial conditions associated with these inflationary types of model. We then show how an expected dissipative dynamics of fields just before the onset of inflation can solve or ease considerably the problem of initial conditions, driving the system naturally toward inflation. The chaotic behavior of the corresponding dynamical system is studied by computation of the fractal dimension of the boundary in phase space separating inflationary from noninflationary trajectories. The fractal dimension for this boundary is determined as a function of the dissipation coefficients appearing in the effective equations of motion for the fields.
Ramos, Rudnei O., "Fine-Tuning Solution for Hybrid Inflation in Dissipative Chaotic Dynamics" (2001). Open Dartmouth: Faculty Open Access Articles. 1954.