经典Bogdanov-Takens规范形的进一步化简

Further Reduction of Classic Bogdanov-Takens Normal Form

研究Bogdanov-Takes规范形的进一步化简,探索双零特征值情形的无穷阶规范形能否用有限形式表示的问题.该研究丰富了Bogdanov-Takens规范形的研究成果,对进一步研究Bogdanov-Takens规范形具有重要的理论意义和应用价值.

In this article we investigated the condition of double-zero eigenvalues, in which we researched the problem of using finite normal forms to show infinite normal forms. This research plays an important role in the study of the normal forms of Bogdanov-Takens.