Linear grading function and further reduction of normal forms

[摘要] In this note an idea of quasi-homogeneous normal form theory using new grading functions is introduced, the definition of Nth order normal form is given and some sufficient conditions for the uniqueness of normal forms are derived. A special case of the unsolved problem in a paper of Baider and Sanders For the unique normal form of Bogdanov-Takens singularities is solved. (C) 1996 Academic Press, Inc.

[发布日期] 1996-12-10