Abstract
In the study of the weak Hilbert’s 16th problem by using Abelian integrals, it is crucial to estimate the number of zeros of them. In this chapter, we introduce several methods to study the number of zeros of the Abelian integrals. In particular for the one defined in (1.11), which is related to the codimension 2 Bogdanov– Takens bifurcation problem, as we explained in Subsection 1.2.2.
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Christopher, C., Li, C., Torregrosa, J. (2024). Chapter 3 Estimate of the Number of Zeros of Abelian Integrals. In: Limit Cycles of Differential Equations. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-59656-9_13
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DOI: https://doi.org/10.1007/978-3-030-59656-9_13
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Publisher Name: Birkhäuser, Cham
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Online ISBN: 978-3-030-59656-9
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