Abstract
Given an analytic family of vector fields in 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.
Original language | English |
---|---|
Pages (from-to) | 855-881 |
Journal | Nonlinearity |
Volume | 16 |
DOIs | |
Publication status | Published - 1 May 2003 |