
We consider a minimally-coupled inflationary theory with a general scalar potential $V(f(��))= V(��\sum_{k=1}^{n}��_k ��^k)$ containing a stationary point of maximal order $m$. We show that asymptotically flat potentials can be associated to stationary points of infinite order and discuss the relation of our approach to the theory of $��$-attractors.
8 pages, 2 figures
Nuclear and High Energy Physics, Cosmology and Nongalactic Astrophysics (astro-ph.CO), Physics, QC1-999, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Attractors of solutions to ordinary differential equations, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Relativistic cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics
Nuclear and High Energy Physics, Cosmology and Nongalactic Astrophysics (astro-ph.CO), Physics, QC1-999, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Attractors of solutions to ordinary differential equations, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Relativistic cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics
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