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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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/3/438 |
| _version_ | 1797441615891005440 |
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| author | Jaume Giné |
| author_facet | Jaume Giné |
| author_sort | Jaume Giné |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T12:26:41Z |
| format | Article |
| id | doaj.art-5572a1e4a08641a8ba9df6956916173f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T12:26:41Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-5572a1e4a08641a8ba9df6956916173f2023-11-30T22:34:37ZengMDPI AGSymmetry2073-89942022-02-0114343810.3390/sym14030438On the Dynamics of Higgins–Selkov, Selkov and Brusellator OscillatorsJaume Giné0Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, SpainA 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.https://www.mdpi.com/2073-8994/14/3/438Higgins–Selkov oscillatorSelkov oscillatorBrusellator oscillatorfirst integralscenter problem |
| spellingShingle | Jaume Giné On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators Symmetry Higgins–Selkov oscillator Selkov oscillator Brusellator oscillator first integrals center problem |
| title | On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators |
| title_full | On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators |
| title_fullStr | On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators |
| title_full_unstemmed | On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators |
| title_short | On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators |
| title_sort | on the dynamics of higgins selkov selkov and brusellator oscillators |
| topic | Higgins–Selkov oscillator Selkov oscillator Brusellator oscillator first integrals center problem |
| url | https://www.mdpi.com/2073-8994/14/3/438 |
| work_keys_str_mv | AT jaumegine onthedynamicsofhigginsselkovselkovandbrusellatoroscillators |