Topological entropy for some isotropic cosmological models
A.Yu.Kamenshchik, I.M.Khalatnikov S.V.Savchenko, A.V.Toporensky
TL;DR
This paper investigates chaotic dynamics in various isotropic cosmological models, calculating topological entropy to quantify chaos, and compares different methods for this calculation, offering a generalizable scheme.
Contribution
It introduces a new scheme for calculating topological entropy in cosmological models, applicable to a broad class of models, and compares multiple calculation methods.
Findings
Topological entropy varies across different cosmological models.
The proposed scheme simplifies entropy calculation for isotropic models.
Comparison of methods highlights their relative advantages.
Abstract
The chaotical dynamics is studied in different Friedmann-Robertson- Walker cosmological models with scalar (inflaton) field and hydrodynamical matter. The topological entropy is calculated for some particular cases. Suggested scheme can be easily generalized for wide class of models. Different methods of calculation of topological entropy are compared.
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