Archive for Rational Mechanics and Analysis

, Volume 132, Issue 4, pp 371–406 | Cite as

Multiple steady states for chemical reaction networks of deficiency one

  • Martin Feinberg


Neural Network Steady State Complex System Nonlinear Dynamics Electromagnetism 


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    Feinberg, M., The existence and uniqueness of steady states for a class of chemical reaction networks, Arch. Rational Mech. Anal., 132, 311–370.Google Scholar
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    Feinberg, M., 1987, Chemical reaction network structure and the stability of complex isothermal reactors I. The deficiency zero and deficiency one theorems, Chemical Engineering Science, 42, 2229–2268.Google Scholar
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    Feinberg, M., 1988, Chemical reaction network structure and the stability of complex isothermal reactors II. Multiple steady states for networks of deficiency one, Chemical Engineering Science, 43, 1–25.Google Scholar
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    Feinberg, M., 1991, Applications of chemical reaction network theory in heterogeneous catalysis, Chemical Reactions in Complex Mixtures, eds. A. J. Sapre & F. Krambeck, Van Nostrand Reinhold, New York, 178–196.Google Scholar
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    Feinberg, M., 1994, The Chemical Reaction Network Toolbox, Version 1.0, available from the author upon request.Google Scholar
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    Horn, F. J. M. & R. Jackson, 1972, General mass action kinetics, Arch. Rational Mech. Anal., 47, 81–116.Google Scholar
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    Leib, T. M., D. Rumschitzki & M. Feinberg, 1988, Multiple steady states in complex isothermal CFSTRs, I. General considerations, Chemical Engineering Science, 43, 321–328.Google Scholar
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    Terman, D. & M. Feinberg, 1991, Traveling composition waves on isothermal catalyst surfaces, Arch. Rational Mech. Anal., 116, 35–69.Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Martin Feinberg
    • 1
  1. 1.Department of Chemical EngineeringUniversity of RochesterRochester

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