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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2007, том 12, выпуск 4, страницы 357–364 (Mi rcd628)

Эта публикация цитируется в 2 статьях

Certain Aspects of Regularity in Scalar Field Cosmological Dynamics

A. Toporensky, P. Tretyakov

Sternberg Astronomical Institute, Universitetsky pr. 13, Moscow, 119992 Russia

Аннотация: We consider dynamics of the FRW Universe with a scalar field. Using Maupertuis principle we find a curvature of geodesics flow and show that zones of positive curvature exist for all considered types of scalar field potential. Usually, phase space of systems with the positive curvature contains islands of regular motion. We find these islands numerically for shallow scalar field potentials. It is shown also that beyond the physical domain the islands of regularity exist for quadratic potentials as well.

Ключевые слова: islands of regular motion, scalar field cosmology.

MSC: 37N30, 65P20, 37N20, 83F05

Поступила в редакцию: 03.06.2007
Принята в печать: 09.07.2007

Язык публикации: английский

DOI: 10.1134/S1560354707040016



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