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2018 | OriginalPaper | Buchkapitel

11. The Second Part of Hilbert’s Sixteenth Problem

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Abstract

  • To describe the second part of Hilbert’s sixteenth problem.
  • To review the main results on the number of limit cycles of planar polynomial systems.
  • To consider the flow at infinity after Poincaré compactification.
  • To review the main results on the number of limit cycles of Liénard systems.
  • To prove two theorems concerning limit cycles of certain Liénard systems.

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Metadaten
Titel
The Second Part of Hilbert’s Sixteenth Problem
verfasst von
Stephen Lynch
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-78145-7_11

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