Bifurcations of Planar Vector Fields

Proceedings of a Meeting held in Luminy, France, Sept. 18-22, 1989
Herausgegeben:Francoise, Jean-Pierre; Roussarie, Robert

• Broschiertes Buch

Produktbeschreibung

Retard ¿a 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 l¿application de retour.- Limit cycles and zeroes of Abelian integrals satisfying third order picard ¿ 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+(¿x3 ¿x6y) ?/?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.

Produktdetails

• Lecture Notes in Mathematics 1455
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-53509-6
• 1990
• Seitenzahl: 408
• Erscheinungstermin: 12. Dezember 1990
• Englisch, Französisch
• Abmessung: 235mm x 155mm x 23mm
• Gewicht: 614g
• ISBN-13: 9783540535096
• ISBN-10: 3540535098
• Artikelnr.: 23869177

Inhaltsangabe

Retard à 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 l'application de retour.- Limit cycles and zeroes of Abelian integrals satisfying third order picard - 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+(±x3 ±x6y) ?/?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.