Local limit cycles of degenerate foci in cubic systems

Terence R Blows

doi:10.1007/978-3-319-31323-8_2

Local limit cycles of degenerate foci in cubic systems

Terence R Blows

Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The problem of determining the stability of a weak focus in a quadratic or cubic system has been the focus of much research. Here we outline a simple but imperfect approach to the study of degenerate foci and use the method to give an example of a cubic system with four local limit cycles about a degenerate focus.

Original language	English (US)
Title of host publication	Springer Proceedings in Mathematics and Statistics
Publisher	Springer New York LLC
Pages	21-27
Number of pages	7
Volume	157
DOIs	https://doi.org/10.1007/978-3-319-31323-8_2
State	Published - 2016

Keywords

Cubic system
Limit cycles degenerate focus

ASJC Scopus subject areas

Mathematics(all)

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10.1007/978-3-319-31323-8_2

Cite this

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abstract = "The problem of determining the stability of a weak focus in a quadratic or cubic system has been the focus of much research. Here we outline a simple but imperfect approach to the study of degenerate foci and use the method to give an example of a cubic system with four local limit cycles about a degenerate focus.",

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BT - Springer Proceedings in Mathematics and Statistics

PB - Springer New York LLC

ER -

Local limit cycles of degenerate foci in cubic systems

Abstract

Keywords

ASJC Scopus subject areas

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