Towards the General Theory of Global Planar Bifurcations

Author:

Ilyashenko Y.

Publisher

Springer International Publishing

Reference22 articles.

1. Arnold, V.I, Afrajmovich, V.S., Ilyashenko, Y.S., Shilnikov, L.P.: Bifurcation Theory and Catastrophe Theory. Translated from the 1986 Russian original by N. D. Kazarinoff, Reprint of the 1994 English edition from the series Encyclopedia of Mathematical Sciences [Dynamical systems. V, Encyclopedia Mathematical Science, vol. 5, viii+271 pp. Springer, Berlin (1994); Springer, Berlin (1999)

2. Dumortier, F., Roussarie, R., Rousseau, C.: Hilbert’s 16th problem for quadratic vector fields. J. Differ. Equ. 110 (1), 86–133 (1994)

3. Écalle, J.: Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac (French). Hermann, Paris (1992)

4. Fedorov, R.M.: Upper bounds for the number of orbital topological types of polynomial vector fields on the plane “modulo limit cycles” (Russian). Uspekhi Mat. Nauk 59 (3)(357), 183–184 (2004). Translation in Russian Math. Surveys 59 (3), 569–570 (2004)

5. Ilyashenko, Y.S.: Finiteness Theorems for Limit Cycles. Translated from the Russian by H. H. McFaden. Translations of Mathematical Monographs, vol. 94, x+288 pp. American Mathematical Society, Providence, RI (1991)

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