Papers › Oscillations in planar deficiency-one mass-action systems

Oscillations in planar deficiency-one mass-action systems

1 Mar 2021arXiv:2103.00972links table onlyarchive 2025-07-28

Balázs Boros, Josef Hofbauer

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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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