Stability of Complex Reaction Networks

  1. I. Prigogine2,3 and
  2. Stuart A. Rice4
  1. Bruce L. Clarke

Published Online: 14 MAR 2007

DOI: 10.1002/9780470142622.ch1

Advances in Chemical Physics, Volume 43

Advances in Chemical Physics, Volume 43

How to Cite

Clarke, B. L. (1980) Stability of Complex Reaction Networks, in Advances in Chemical Physics, Volume 43 (eds I. Prigogine and S. A. Rice), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470142622.ch1

Editor Information

  1. 2

    University of Brussels, Brussels, Belgium

  2. 3

    University of Texas, Austin, Texas

  3. 4

    Department of Chemistry, The James Franck Institute, The University of Chicago, Chicago, Illinois

Author Information

  1. Department of Chemistry University of Alberta Edmonton, Alberta, Canada

Publication History

  1. Published Online: 14 MAR 2007
  2. Published Print: 1 JAN 1980

ISBN Information

Print ISBN: 9780471057413

Online ISBN: 9780470142622

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Keywords:

  • concentration polyhedron;
  • elementary stability analysis;
  • simple Lyapunov functions;
  • stoichiometric networks;
  • stability estimation

Summary

This chapter contains sections titled:

  • Introduction

  • The Network and Its Accessible States

  • Elementary Stability Analysis

  • Networks Having Simple Lyapunov Functions

  • A Diagrammatic Approach to Instability in Stoichiometric Networks

  • Estimating Stability and the Bifurcation Set Using Exponent Polytopes

  • Summary