Lyapunov function for cosmological dynamical system

We prove the asymptotic global stability of the de Sitter solution in the Friedmann-Robertson-Walker conservative and dissipative cosmology. In the proof we construct a Lyapunov function in an exact form and establish its relationship with the first integral of dynamical system determining evolution...

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Bibliographic Details
Main Authors: Szydłowski Marek, Krawiec Adam
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0005/dema-2017-0005.xml?format=INT