Saturday, August 12

MS54
Computation of Normal Forms

4:00 PM-6:00 PM
Plumeria & Tiare (Salon 9 & 10)

Normal form theory plays an important role in the study of dynamical systems. The basic idea of normal form is to apply successive coordinate transformations to a given differential equation so that the resulting equation has a simpler form. Recently, more attention has been paid to the simplest normal forms, and some new computation methods have been developed. The purpose of this minisymposium is to exchange the new ideas in the direction of computation of simplest normal forms.

4:00-4:25 Unique Normal Form of Bogdanov-Takens Singularities

Duo Wang, Organizer; Jing Li, Beijing Polytechnic University, China; Minhai Huang, Xijiang University, China; and Yong Jiang, Fujian Agriculture University, China

4:30-4:55 Computation of Simplest Normal Forms and Applications

Pei Yu, Organizer

5:00-5:25 Normal Forms of Commuting Maps and Vector Fields with Application to Seifert Conjecture

Masafumi Yoshino, Chuo University, Japan

5:30-5:55 On the Structure of Nilpotent Normal Forms

James Murdock, Iowa State University, USA