On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators

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2022
Author
Giné, Jaume
Suggested citation
Giné, Jaume; . (2022) . On the Dynamics of Higgins–Selkov, Selkov and Brusellator Oscillators. Symmetry, 2022, vol. 14, núm. 3, 438. https://doi.org/10.3390/sym14030438.
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Abstract
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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http://hdl.handle.net/10459.1/84150
DOI
https://doi.org/10.3390/sym14030438
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Symmetry, 2022, vol. 14, núm. 3, 438
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cc-by (c) Jaume Giné, 2022
Except where otherwise noted, this item's license is described as cc-by (c) Jaume Giné, 2022