Existence and number of figure-eight loops in planar sector-wise linear systems with saddle-saddle dynamics

DOI10.1142/S0218127423501985zbMATH Open1546.34048MaRDI QIDQ6539040

Song-Mei Huan, Xiaojuan Liu

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

figure-eight loopsection mapfour-crossing-points periodic orbitplanar sector-wise linear systemtwo-crossing-points periodic orbit

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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