Attractor dynamics of inflationary monomial potentials

Details Attractor dynamics of inflationary monomial potentials Attractor dynamics of inflationary monomial potentials

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1256..293r&link_type=abstract

GRAVITATIONAL PHYSICS: TESTING GRAVITY FROM SUBMILLIMETER TO COSMIC: Proceedings of the VIII Mexican School on Gravitation and M

Mathematics

Mathematical Physics

1

Dynamics, Cosmology, Universe, Matrix Algebra, Numerical Simulations Of Chaotic Systems, Origin And Formation Of The Universe, Particle-Theory And Field-Theory Models Of The Early Universe, Matrix Theory

Scientific paper

We study the attractors solutions of the dynamical system of a scalar field endowed with monomial potentials of the form V(φ)~φ2n. The evolution equations of the system are written as a dynamical system, and the critical points represent solutions of physical interest. It is easy to find curves that conect the critical points, some of which behave as attractor inflationary trajectories in phase space.

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