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| Title: | Hilbert number for a family of piecewise nonautonomous equations |
| Authors: | Bravo Galán, José Luis Fernández García-Hierro, Manuel Ojeda Martínez de Castilla, Ignacio |
| Keywords: | Odas escalares lineales por partes;Solución periódica;Ciclo límite;Ecuación de abel;Linear scalar piecewise odes;Periodic solution;Limit cycle;Abel equation |
| Issue Date: | 2024 |
| Abstract: | For family , we solve three basic problems related with its dynamics. First, we characterize when it has a center (Poincaré center focus problem). Second, we show that each equation has a finite number of limit cycles (finiteness problem), and finally we give a uniform upper bound for the number of limit cycles (Hilbert problem 16). |
| Description: | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature |
| URI: | http://hdl.handle.net/10662/21250 |
| ISSN: | 1575-5460 |
| DOI: | 10.1007/s12346-023-00922-9 |
| Appears in Collections: | DDCEM - Artículos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| s12346-023-00922-9.pdf | 291,5 kB | Adobe PDF | View/Open |
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