The Second Part of Hilbert’s Sixteenth Problem

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University

Chapter Chapter 11 in Dynamical Systems with Applications using Python, 2018, pp 271-296 from Springer

Abstract: 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.

Keywords: Sixteenth Problem; Planar Polynomial Systems; Global Phase Portrait; Small Amplitude Limit Cycle; Hilbert Number (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-3-319-78145-7_11

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