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gr-qc2007★ 3 cited
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…
nlin.SI2007★ 8 cited
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…