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...
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2022 |
| País: | España |
| Recursos: | Universitat de Lleida (UdL) |
| Repositório: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/84150 |
| Acesso em linha: | https://doi.org/10.3390/sym14030438 http://hdl.handle.net/10459.1/84150 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Higgins–Selkov oscillator Selkov oscillator Brusellator oscillator First integrals Center problem |
| Resumo: | 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. |
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