Abstract
In this paper we improve the Darboux theory of integrability for reversible polynomial vector fields in Rn, and we classify the phase portraits of all φ-reversible quadratic polynomial vector fields of R2 such that the dimension of the set of fixed points of φ is equal to one. Copyright ©2005 Rocky Mountain Mathematics Consortium.
Original language | English |
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Pages (from-to) | 1999-2057 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 35 |
DOIs | |
Publication status | Published - 1 Dec 2005 |
Keywords
- Darboux integrability
- Reversible vector fields