The second term of the asymptotics of the monodromy map in case of two even edges of the Newton diagram
N. Medvedeva, Chelyabinsk State University, Chelyabinsk, Russia E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 19. (2000), pp. 1-15.
E. Batcheva, Chelyabinsk State University, Chelyabinsk, Russia
| Communicated by I. Kiguradze. | Appeared on 2000-01-01 |
Abstract: The second term of the asymptotics of the monodromy map of monodromic singular point for some class of vector fields, Newton diagram of which consists of two even edges is computed; in that case the principal term of the asymptotics is an identity mapping. The obtained result allows to formulate the sufficient condition of focus for the singular point from the class under consideration.
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