Around Hilbert-Arnold Problem
| dc.creator | Kaloshin, Vadim | |
| dc.date | 2001-11-06 | |
| dc.date.accessioned | 2026-07-07T04:44:23Z | |
| dc.date.available | 2026-07-07T04:44:23Z | |
| dc.description | This lectures notes consists of four lectures. The first lecture discusses questions around Hilbert-Arnold Problem which is naturally arises from Quantitative Hilbert 16-th problem. In the second lecture we outline author's solution of a weak form of Local Hilbert-Arnold Problem. This solution provides an independent proof of Ilyashenko-Yakovenko Finiteness Theorem. The third lecture discusses question of existence of a_P-stratification of Thom and presents a simple geometric proof of existence of such a stratification for polynomial functions, which was originally proven by Hironaka. The forth lecture gives application of Grigoriev-Yakovenko's construction to the problem of growth of the number of periodic points and the problem of bifurcation of spacial polycycles. The latter problem naturally generalizes Local Hilbert-Arnold Problem. | |
| dc.description | 68 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/math/0111053 | |
| dc.identifier | http://arxiv.org/abs/math/0111053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62568 | |
| dc.subject | Dynamical Systems | |
| dc.title | Around Hilbert-Arnold Problem | |
| dc.type | text |