Pseudo-orthogonal groups and integrable dynamical systems in two dimensions | Zendy

Juan Antonio Aparicio Calzada | Zendy; M. A. del Olmo | Zendy; Miguel A. Rodrı́guez | Zendy

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Pseudo-orthogonal groups and integrable dynamical systems in two dimensions

Author(s) -

Juan Antonio Aparicio Calzada,

M. A. del Olmo,

Miguel A. Rodrı́guez

Publication year - 1999

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.532768

Subject(s) - integrable system , phase portrait , invariant (physics) , mathematics , symmetry group , dynamical systems theory , symmetry (geometry) , separation of variables , mathematical physics , pure mathematics , mathematical analysis , algebra over a field , physics , quantum mechanics , partial differential equation , geometry , bifurcation , nonlinear system

Integrable systems in low dimensions, constructed through the symmetryreduction method, are studied using phase portrait and variable separationtechniques. In particular, invariant quantities and explicit periodic solutionsare determined. Widely applied models in Physics are shown to appear asparticular cases of the method.Comment: 32 pages,revte

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