Bifurcations for Homoclinic Networks with Centers

Albert C. J. Luo ()
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Albert C. J. Luo: Southern Illinois University Edwardsville, Department of Mechanical and Mechatronics Engineering

Chapter Chapter 5 in Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems, 2025, pp 203-314 from Springer

Abstract: Abstract In this chapter, the appearing and switching bifurcations are studied for homoclinic networks of singular and non-singular saddles and centers with singular parabola-saddles and double-inflection saddles in crossing-univariate polynomial systems, and the first integral manifolds of such homoclinic networks are determined through polynomial functions. The illustrations of singular equilibriums to networks of non-singular saddles and centers are given.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-97-2617-2_5

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DOI: 10.1007/978-981-97-2617-2_5

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