Smoothness property for bifurcation diagrams

DOI10.5565/PUBLMAT_41197_15zbMath0888.34032OpenAlexW4246087219MaRDI QIDQ1365666

Robert Roussarie

Publication date: 11 June 1998

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41294

zbMATH Keywords

dynamical systemsbifurcationtwo-dimensional autonomous ordinary differential equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting ⋮ THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER ⋮ Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: local setting ⋮ From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields ⋮ Linearization of germs of hyperbolic vector fields.

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