An algebraic formula for the topological types of one parameter bifurcation diagrams

DOI10.1007/BF01052973zbMath0699.58054OpenAlexW2027046497MaRDI QIDQ913348

Kenji Aoki, Takuo Fukuda, Takashi Nishimura

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01052973

zbMATH Keywords

bifurcation diagramone parameter bifurcation

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

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A formula for the number of branches for one-dimensional semianalytic sets, On the number of branches of an 1-dimensional semianalytic set, The link of a finitely determined map germ from \(R^{2}\) to \(R^{2}\), On the number of branches of bifurcation points, Degree formulas for a topological invariant of bifurcations of function-germs, On the number of bifurcation branches of \(C^ 2\)-maps, On affine complete intersections with isolated singularities., On the number of singular points of a real projective hypersurface, On bifurcations of cusps, Stratified critical points on the real Milnor fibre and integral-geometric formulas

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