Application of the parametric representation method to construct bifurcation diagrams for highly non-linear chemical dynamical systems

Peter L. Simon, Nguyen Bich Thuy, Henrik Farkas, Zoltán Noszticzius

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The parametric representation method has been shown to be a useful geometric tool to study tangent and Hopf bifurcations in chemical systems. As an example, we investigate the behaviour of a two-dimensional system of differential equations. This general model includes some known catalytic oxidation models as special cases. The general system can have one or three stationary solutions depending on the parameter values. The parametric representation method is applied to construct bifurcation diagrams for multistationarity and stability.

Original languageEnglish
Pages (from-to)2865-2871
Number of pages7
JournalJournal of the Chemical Society - Faraday Transactions
Volume92
Issue number16
DOIs
Publication statusPublished - Aug 21 1996

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Fingerprint Dive into the research topics of 'Application of the parametric representation method to construct bifurcation diagrams for highly non-linear chemical dynamical systems'. Together they form a unique fingerprint.

  • Cite this