The Bifurcation Phenomena of Polycycle S(3) of Hamiltonian System
Under Small Perturbations
LI Baoyi
(Department of Mathematics,Tianjin Normal University,Tianjin,300073)
ZHANG Zhifen
(School of Mathematical Sciences,Peking University,Beijing,100871)
- Abstract:
- By means of finitely-smooth normal form theory and the method of infinitesimal
analysis,it is proved that the cyclicity of polycycle S(3) of
planar Hamiltonian system under small perturbations with certain nondegenerate
condition is 3,thus the results of A.Mourtada about the cyclicity of isolated
S(3) is generalized.
- Key words:
- polycycle; cyclicity; finitely-smooth normal form
(R.D.1997-06-19 P.D.1998-09-20 Vol.34 No.5 pp 588-596)
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