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https://elib.bsu.by/handle/123456789/175998| Title: | Invariant Wada Basins for One Periodic Second Order Differential Equation |
| Authors: | Makarova, M. V. Serow, D. W. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2016 |
| Publisher: | Minsk : Education and Upbringing |
| Citation: | Nonlinear Phenomena in Complex Systems. - 2016. - Vol. 19, N 2. - P. 207-210 |
| Abstract: | A dissipative periodic second order differential equation with quadratic damping, cubic restoring force and with periodic coefficient at the even degree summand has been considered. Namely due to the periodic coefficient presence the invariant Wada basins with respect to the Poincar´e map has been obtained. The common boundary Wada basins and ”ocean” is the Birkhoff curve. The rotation numbers and timbre have been defined as an internal invariant with respect to the flow. |
| URI: | http://elib.bsu.by/handle/123456789/175998 |
| ISSN: | 1561 - 4085 |
| Licence: | info:eu-repo/semantics/restrictedAccess |
| Appears in Collections: | 2016. Volume 19. Number 2 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| v19no2p207.pdf | 104,7 kB | Adobe PDF | View/Open |
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