Darbouxian first integrals and invariants for real quadratic systems having an invariant conic
- 14 January 2002
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 35 (3), 589-608
- https://doi.org/10.1088/0305-4470/35/3/309
Abstract
We apply the Darboux theory to study the integrability of real quadratic differential systems having an invariant conic. The fact that two intersecting straight lines or two parallel straight lines are particular cases of conics allows us to study simultaneously the integrability of quadratic systems having at least two invariant straight lines real or complex.Keywords
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