Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$

zbMath1472.34072arXiv1707.09779MaRDI QIDQ5112497

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Publication date: 29 May 2020

Full work available at URL: https://arxiv.org/abs/1707.09779

zbMATH Keywords

bifurcationstructural stabilitypolycyclesparkling saddle connection

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) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ordinary differential equations and systems on manifolds (34C40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Various equivalence relations in global bifurcation theory ⋮ New structurally unstable families of planar vector fields ⋮ Global bifurcations in generic one-parameter families on \(\mathbb{S}^2\) ⋮ Families of vector fields with many numerical invariants ⋮ Germs of bifurcation diagrams and SN–SN families

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