Abstract
SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.
Abstract
Once the appropriate model was developed, the steady-state and dynamic characteristics such as multiple steady states and stability etc. can be analyzed. Multiple steady states are analyzed from the point of view of Catastrophy. The dynamic characteristics around the steady state are analyzed based on the perturbation of the state and the stability analysis with phase plane analysis. The bifurcation analysis is briefly explained for the limit cycle bifurcating from the steady state as Hopf-bifurcation. The dynamics of continuous stirred tank fermenter (CSTF) for the different expression of the cell growth rate is explained. The dynamics of the Lotka-Volterra population model is explained. The chaotic behavior is also explained for the simple logistic model.
Keywords:
Dynamics, multiple steady states, Catastrrophy theory, phase plane, limit cycle, stability, Hopf-bifurcation, chaos.
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Authors:Bentham Science Books