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TitleBifurcations of Planar Vector Fields [electronic resource] : Proceedings of a Meeting held in Luminy, France, Sept. 18-22, 1989 / edited by Jean-Pierre Franรงoise, Robert Roussarie
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1990
Connect tohttp://dx.doi.org/10.1007/BFb0085387
Descript VIII, 400 p. online resource

CONTENT

Retard ร  la bifurcation : du local au global -- On bifurcation of limit cycles from centers -- On the saddle loop bifurcation -- Finitude des cycles-limites et accelero-sommation de lโ{128}{153}application de retour -- Limit cycles and zeroes of Abelian integrals satisfying third order picard โ{128}{148} Fuchs equations -- On the basin of attraction of dissipative planar vector fields -- Periodic lines of curvature bifurcating from Darbouxian umbilical connections -- Conditions for a centre and the bifurcation of limit cycles in a class of cubic systems -- On first integrals of linear systems, Frobenius integrability theorem and linear representations of Lie algebras -- Cyclicite finie des polycycles hyperboliques de champs de vecteurs du plan mise sous forme normale -- Bifurcation of limit cycles -- Universal unfolding of a singularity of a symmetric vector field with 7-jet C?-equivalent to y ?/?x+(ยฑx3 ยฑx6y) ?/?y -- Bifurcation in a quartic polynomial system arising in biology -- On the finiteness of certain boundary cycles for NTH degree polynomial vector fields -- Algebraic integrals of quadratic systems with a weak focus -- Rotated vector fields decomposition method and its application -- Remarks on the delay of the loss of stability of systems with changing parameter


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis



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