Chemical Reaction Networks Associated with the Hilbert's 16th Problem: Limit Cycles and Stability Analysis

Gefry Barad, Eugen Czeizler, Andrei Păun

Research output: Contribution to journalArticleScientificpeer-review


We give examples of 2-parameter bounded quadratic dynamical systems with 3 finite singularities, which have at least 4 limit cycles around a singularity (in the (4, 0)-configuration)-the first example of this type-and in a (3, 1)-configuration. The paper mentions the Nanobiotechnological origins of these experimentally discovered systems with interesting properties.

Original languageUndefined/Unknown
Pages (from-to)557–578
JournalMatch: Communications in Mathematical and in Computer Chemistry
Issue number3
Publication statusPublished - 2019
MoE publication typeA1 Journal article-refereed

Cite this