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Further simplification of the \(n\)th regular form of the Bogdanov-Takens system. (Chinese. English summary) Zbl 1049.34049

Summary: This paper successfully simplifies the \(n\)th-order normal form of the Bogdanov-Takens system by using skillful mathematical method. It presents two kinds of simplified forms.

MSC:

34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34C23 Bifurcation theory for ordinary differential equations