86 citations · 631 across the 43 of their papers we have counts for
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Global dynamics of cosmological scalar fields -- Part II
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
This is the second part of integrability analysis of cosmological models with scalar fields. Here, we study systems with conformal coupling, and show that apart from four cases, wh…
Differential Galois obstructions for non-commutative integrability
Andrzej J. Maciejewski, Maria Przybylska
We show that if a holomorphic Hamiltonian system is holomorphically integrable in the non-commutative sense in a neighbourhood of a non-equilibrium phase curve which is located at…
Finiteness of integrable -dimensional homogeneous polynomial potentials
Maria Przybylska
We consider natural Hamiltonian systems of degrees of freedom with polynomial homogeneous potentials of degree . We show that under a genericity assumption, for a fixed $k…
Differential Galois obstructions for integrability of homogeneous Newton equations
Maria Przybylska
n this paper we formulate necessary conditions for the integrability in the Jacobi sense of Newton equations $\ddot \vq=-\vF(\vq)$, where $\vq\in\C^n$ and all components of $\vF$ a…
Necessary conditions for partial and super-integrability of Hamiltonian systems with homogeneous potentia
Andrzej J. Maciejewski, Maria Przybylska, Haruo Yoshida
We consider a natural Hamiltonian system of degrees of freedom with a homogeneous potential. Such system is called partially integrable if it admits independent and com…