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arXiv · 2103.00972

Oscillations in planar deficiency-one mass-action systems

Balázs Boros·Josef Hofbauer
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Abstract

Whereas the positive equilibrium of a mass-action system with deficiency zero is always globally stable, for deficiency-one networks there are many different scenarios, mainly involving oscillatory behaviour. We present several examples, with centers or multiple limit cycles.

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Balázs Boros, Josef Hofbauer. 2021-03-01. Oscillations in planar deficiency-one mass-action systems. https://doi.org/10.1007/s10884-021-10051-z

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