Integrability and Non-Integrability of Planar Hamiltonian Systems of Cosmological Origin | Zendy

Andrzej J. Maciejewski | Zendy; Marek Szydłowski | Zendy

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Integrability and Non-Integrability of Planar Hamiltonian Systems of Cosmological Origin

Author(s) -

Andrzej J. Maciejewski,

Marek Szydłowski

Publication year - 2001

Publication title -

journal of nonlinear mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.544

H-Index - 40

eISSN - 1776-0852

pISSN - 1402-9251

DOI - 10.2991/jnmp.2001.8.s.35

Subject(s) - hamiltonian (control theory) , mathematical physics , hamiltonian system , planar , tangent space , tangent , physics , mathematics , kinetic energy , metric (unit) , tangent vector , classical mechanics , pure mathematics , geometry , computer science , mathematical optimization , operations management , computer graphics (images) , economics

We study the problem of non-integrability (integrability) of cosmological dynamical systems which are given in the Hamiltonian form with indefinite kinetic energy form , where g is a two-dimensional pseudo-Riemannian metric with a Lorentzian signature (+,−), and is a tangent vector at a point of the configuration space .

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