Some Models with Scalar Equations

with and without Bifurcation


It is important to introduce the reader at an early stage to simple examples of nonlinear models. We will first present cases with bifurcation behavior as the more general case, followed by special cases without bifurcation. Note that this is deliberately the reverse of the opposite and more common approach. We take this path because it sets the important precedent of studying chemical and biological engineering systems first in light of their much more prevalent multiple steady states rather than from the rarer occurrence of a unique steady state.


Bifurcation Point Continuous Stir Tank Reactor Bifurcation Curve Fluid Catalytic Crack Multiple Steady State 
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For Chapter 3

  1. M.M. Denn, Process Modeling, Longman Science and Technology, 1986Google Scholar
  2. W.F. Ramirez, Computational Methods in Process Simulation, 2nd ed, Butterworth-Heinemann, 1997, 512 p (ISBN: 0-7506-3541-X)Google Scholar
  3. G.V. Reklaitis, Introduction to Material and Energy Balances, John Wiley, 1983Google Scholar
  4. L. Von Bertalanffy, General Systems Theory, George Braziller, New York, 1968Google Scholar

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© Springer Science + Business Media, LLC 2007

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