Estimate of the Number of Zeros of Abelian Integrals
To study the weak Hilbert’s 16th problem by using Abelian integrals, it is crucial to estimate the number of zeros of the Abelian integral. In this chapter, we introduce several methods to study the number of zeros of the Abelian integral I(h) given in (1.10), which is related to the codimension 2 Bogdanov-Takens bifurcation problem, as we explained in subsection 1.2.2.
KeywordsRotation Number Bifurcation Problem Argument Principle Fuchsian System Abelian Integral
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