On the number of bifurcation branches of \(C^ 2\)-maps

DOI10.1016/0022-247X(92)90200-WzbMath0785.58012OpenAlexW2055685452MaRDI QIDQ1206839

Marek Izydorek, Sławomir Rybicki

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90200-w

zbMATH Keywords

bifurcationnumber of branchesone-parameter families of \(C^ 2\)-mappings

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

On the number of branches of bifurcation points

Cites Work

• An algebraic formula for the topological types of one parameter bifurcation diagrams
• On the number of branches of a plane curve germ
• On the number of branches of an 1-dimensional semianalytic set
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