UNCW Department of Mathematics and
Statistics
Colloquium Announcement
“On Hilbert’s 16th Problem”
Professor Jibin Li
Department of Mathematics
Zhejiang Normal University
Abstract: In this talk, the study progress on Hilbert's 16th problem
is presented. The relationship between Hilbert's 16th problem and
bifurcations of planar vector fields is discussed. The material is
stated in 8 sections.
Section 1: Introduction: what is Hilbert's 16th problem?
Section 2: The first part of Hilbert's 16th problem.
Section 3: The second part of Hilbert's 16th problem.
Section 4: Focal values, saddle values and finite cyclicity in a
fine focus, closed orbit and homoclinic loop.
Section 5: Finiteness problem.
Section 6: The weakened Hilbert's 16th problem.
Section 7: Global and local bifurcations of Z q equivalent vector
fields.
Section 8: The rate of growth of Hilbert number H(n) with n.
Time: November 03, 2008, 2:00 pm – 3:30 pm
Teatime: 3:30 pm – 4:00 pm
Location: 219 Bear Hall