Limit Cycles and the Distribution of Zeros of Families of Analytic Functions
| dc.creator | Brudnyi, Alexander | |
| dc.date | 1999-08-23 | |
| dc.date.accessioned | 2026-07-07T05:30:27Z | |
| dc.date.available | 2026-07-07T05:30:27Z | |
| dc.description | We estimate the expected number of limit cycles situated in a neighbourhood of the origin of a planar polynomial vector field. Our main tool is a distributional inequality for the number of zeros of some families of univariate holomorphic functions depending analytically on a parameter. We obtain this inequality by methods of Pluripotential Theory. This inequality also implies versions of a strong law of large numbers and the central limit theorem for a probabilistic scheme associated with the distribution of zeros. | |
| dc.identifier | https://arxiv.org/abs/math/9908122 | |
| dc.identifier | http://arxiv.org/abs/math/9908122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78997 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.subject | Primary 34C05. Secondary 31C10, 60F05 | |
| dc.title | Limit Cycles and the Distribution of Zeros of Families of Analytic Functions | |
| dc.type | text |