CYCLICITY OF PLANAR POLYCYCLES AND ENSEMBLES WITH CODIMENSION-3 DEGENERATION THROUGH A SADDLE-NODE AND 2 HYPERBOLIC SADDLES

Authors
ZHAO LQ
Citation
Lq. Zhao, CYCLICITY OF PLANAR POLYCYCLES AND ENSEMBLES WITH CODIMENSION-3 DEGENERATION THROUGH A SADDLE-NODE AND 2 HYPERBOLIC SADDLES, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(8), 1998, pp. 829-836
Citations number
5
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
41
Issue
8
Year of publication
1998
Pages
829 - 836
Database
ISI
SICI code
1001-6511(1998)41:8<829:COPPAE>2.0.ZU;2-Q
Abstract
The cyclicity of lour classes of codimension 3 planar polycycles and e nsembles containing a saddle-node and two hyperbolic saddles is dealt with. The exact cyclicity or cyclicity bound of them is obtained by fi nitely-smooth normal form theory.