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
In Chapter 2, we demonstrate an analytical analysis of a previously published
research for a percolation simulation. In that research the effect of mutations on adaptability
was investigated in a bit-string model of invading species in a random environment. However,
analytical analysis was missing which will be the topic here. The Hausdorff dimensions are
calculated for the fractals and the conditions on invasion are analyzed analytically by
manipulation of partial differential equations. Thus, various conclusions may be reached
without having to run long simulations.
Keywords:
Boundary value problems, Fractals, Hausdorff dimension, Monte carlo methods, Ordinary and partial differential equations, Percolation.
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Authors:Bentham Science Books