Oscillations in planar deficiency-one mass-action systems
arXiv:2103.00972 · doi:10.1007/s10884-021-10051-z
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.
25 pages, 4 figures
References in corpus (1)
Cited by in corpus (4)
- The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation
- Oscillations in planar deficiency-one mass-action systems
- Limit cycles in mass-conserving deficiency-one mass-action systems
- Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours