On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators
A complete algebraic characterization of the first integrals of the Higgins–Selkov, Selkov and Brusellator oscillators is given here. The existence of symmetries sometimes forces the existence of such first integrals. The nonexistence of centers for such oscillators is also proved. In order to deter...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat de Lleida (UdL) |
| Repositorio: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/84150 |
| Acceso en línea: | https://doi.org/10.3390/sym14030438 http://hdl.handle.net/10459.1/84150 |
| Access Level: | acceso abierto |
| Palabra clave: | Higgins–Selkov oscillator Selkov oscillator Brusellator oscillator First integrals Center problem |
| Sumario: | A complete algebraic characterization of the first integrals of the Higgins–Selkov, Selkov and Brusellator oscillators is given here. The existence of symmetries sometimes forces the existence of such first integrals. The nonexistence of centers for such oscillators is also proved. In order to determine the Puiseux integrability of such systems, the multiple Puiseux solutions are also studied. |
|---|