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Share Give access Share full text access. Share full text access. Please review our Terms and Conditions of Use and check box below to share full-text version of article. Volume 68 , Issue 12 Pages Related Information. Coppel , A survey of quadratic systems , J. Differential Equations 2 , — Differential Equations 23 , no. Dumortier , R. Roussarie , and J. Sotomayor , Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part.

The cusp case of codimension 3 , Ergodic Theory Dynam. Systems 7 , no. Dumortier, R. Roussarie, and J. Sotomayor, Generic - parameter families of planar vector fields, unfoldings of saddle, focus and elliptic singularities with nilpotent linear parts , Lecture Notes in Math.

Perturbation methods, bifurcation theory and computer algebra - PDF Free Download

MR [R] Christiane Rousseau , Example of a quadratic system with two cycles appearing in a homoclinic loop bifurcation , J. Differential Equations 66 , no. Rand and Dieter Armbruster , Perturbation methods, bifurcation theory and computer algebra , Applied Mathematical Sciences, vol. MR [S] D. Schlomiuk, Personal Communication. Differential Equations 14 , — Translated from the Chinese by Chi Y.

Perturbation methods for nonlinear PDEs (Lecture - 01) by Vishal Vasan

MR Abraham and J. Robbin, Transversal mappings and flows , Benjamin, New York, Bautin, On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type , Mat.


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No MR a [Br] H. Broer, Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case , Dyn. MR 83j [C] W.

Lecture 12

Coppel, A survey of quadratic systems , J. Differential Equations 2 MR [D1] F. Dumortier, Singularities of vector fields on the plane , J.