1994/08/05 by Esteban Calzetta, E. Calzetta, C. El Hasi
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Breakup #Chaotic #Classical mechanics #Cosmology and Gravitation Theories #Dynamical systems theory #Economics #Epistemology #Eternal inflation #Inflation (cosmology) #Invariant (physics) #Mathematical physics #Philosophy #Physics #Quantum mechanics #Simple (philosophy) #Statistical physics #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.51.2713
published as Phys.Rev. D51 (1995) 2713-2728 · 26 pages, Latex, 9 Figures available on request, GTCRG-94-12
arxiv created 1994/08/05 · openalex publication_date 1995/03/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Inflationary cosmologies, regarded as dynamical systems, have rather simple asymptotic behavior insofar as the cosmic baldness principle holds. Nevertheless, in the early stages of an inflationary process the dynamical behavior may be very complex. In this paper, we show how even a simple inflationary scenario, based on Linde's ``chaotic inflation'' proposal, manifests nontrivial dynamical effects such as the breakup of invariant tori, the formation of cantori, and Arnol'd's diffusion. The relevance of such effects is highlighted by the facts that even the occurrence or nonoccurrence of inflation in a given universe is dependent upon them.