6533b872fe1ef96bd12d39df
RESEARCH PRODUCT
On the time function of the Dulac map for families of meromorphic vector fields
David MarínPavao MardešićJordi Villadelpratsubject
Differential equationApplied MathematicsMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsQuadratic equationSaddle pointtime-map; quadratic centresDevelopment (differential geometry)Vector fieldAsymptotic expansionMathematical PhysicsBifurcationMathematicsMeromorphic functiondescription
Given an analytic family of vector fields in Bbb R2 having a saddle point, we study the asymptotic development of the time function along the union of the two separatrices. We obtain a result (depending uniformly on the parameters) which we apply to investigate the bifurcation of critical periods of quadratic centres.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-03-07 | Nonlinearity |