Limit cycles in mass-conserving deficiency-one mass-action systems

Boros Balázs and Hofbauer Josef: Limit cycles in mass-conserving deficiency-one mass-action systems. (2022)

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Abstract

We present some simple mass-action systems with limit cycles that fall under the scope of the Deficiency-One Theorem. All the constructed examples are massconserving and their stoichiometric subspace is two-dimensional. Using the continuation software MATCONT, we depict the limit cycles in all stoichiometric classes at once. The networks are trimolecular and tetramolecular, and some exhibit two or even three limit cycles. Finally, we show that the associated mass-action system of a bimolecular reaction network with two-dimensional stoichiometric subspace does not admit a limit cycle.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 42
ISSN: 1417-3875
Number of Pages: 18
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2022.1.42
Uncontrolled Keywords: Andronov-Hopf bifurkáció
Additional Information: Bibliogr.: p. 17-18. ; ill. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. Sep. 09. 07:59
Last Modified: 2022. Nov. 08. 08:29
URI: http://acta.bibl.u-szeged.hu/id/eprint/76543

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