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

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2022Suggested 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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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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Symmetry, 2022, vol. 14, núm. 3, 438European research projects
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