Titlebook: Bifurcations of Planar Vector Fields; Proceedings of a Mee Jean-Pierre Fran?oise,Robert Roussarie Conference proceedings 1990 Springer-Verl

modifier

On first integrals of linear systems, Frobenius integrability theorem and linear representations ofble linear vector fields cannot have a common global first integral..This leads us to ask many simple and natural questions, some of them about representations of Lie algebras by Lie algebras of linear vector fields..Some historical comments and abundant references are also provided.

Bravado

On the saddle loop bifurcation,ons with the same modulus are (C.,±Identity)-equivalent..A side result states that the Poincaré map of the connection is C.-conjugate to the mapping x?x...In the last part of the paper is shown how to finish the proof that the Bogdanov-Takens bifurcation has exactly two models for (C.,C.)-equivalence.

HERE

https://doi.org/10.1007/978-3-531-90002-5we choose, it serves to illustrate some techniques which are developed for treating similar bifurcation problems when the first order methods are inconclusive. Actually, we are able to treat the bifurcations of all orders.

現(xiàn)代

On bifurcation of limit cycles from centers,we choose, it serves to illustrate some techniques which are developed for treating similar bifurcation problems when the first order methods are inconclusive. Actually, we are able to treat the bifurcations of all orders.

conceal

確保

珠寶

,Limit cycles and zeroes of Abelian integrals satisfying third order picard — Fuchs equations,

大雨

忘川河

我要沮喪

Bifurcation in a quartic polynomial system arising in biology,