Oscillations in planar deficiency-one mass-action systems
| Autor: | Josef Hofbauer, Balázs Boros |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Reversible systems
Partial differential equation Centers 010102 general mathematics Mathematical analysis Zero (complex analysis) Dynamical Systems (math.DS) 01 natural sciences Action (physics) 010101 applied mathematics Mass-action kinetics Limit cycles Planar Ordinary differential equation FOS: Mathematics Limit (mathematics) 0101 mathematics Positive equilibrium Mathematics - Dynamical Systems Liénard systems Analysis Mathematics Deficiency one |
| DOI: | 10.48550/arxiv.2103.00972 |
| Popis: | 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. Comment: 25 pages, 4 figures |
| Databáze: | OpenAIRE |
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