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

    Abstract

    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
    Volume81
    Issue number3
    Publication statusPublished - 2019
    MoE publication typeA1 Journal article-refereed

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