304 citations · 948 across the 35 of their papers we have counts for
4 papers · 1 filter
Integrability and Chaos - algebraic and geometric approach
Tomasz Stachowiak
This thesis presents two descriptions of complexity in dynamical systems. The algebraic approach deals with the differential Galois group theory and its restrictions on integrabili…
Kepler versus Akaike
Tomasz Stachowiak
I use the example of the Earth's orbit to illustrate the principle behind the Akaike Information Criterion, and refute the misconception that the criterion, by definition, discards…
Global integrability of cosmological scalar fields
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois gr…
Exact solutions for Big Bounce in loop quantum cosmology
Jakub Mielczarek, Tomasz Stachowiak, Marek Szydlowski
In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cos…