Linear grading function and further reduction of normal forms (Q678070)
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scientific article; zbMATH DE number 1000164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear grading function and further reduction of normal forms |
scientific article; zbMATH DE number 1000164 |
Statements
Linear grading function and further reduction of normal forms (English)
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25 November 1997
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The concept of linear grading functions is introduced and a method to define new grading functions is given. A quasi-homogeneous normal form theory is developed by using grading functions and \(n\)th order normal forms are defined. The authors combine methods of Ushiki and of Baider-Sander. A special case of the unsolved problem in a paper of Baider and Sander for the unique normal form of Bogdanov-Takens is solved.
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linear grading function
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quasi-homogeneous normal form theory
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