CMPT 320 Study Guide - Midterm Guide: Logistic Map, Logistic Function, Cartesian Coordinate System

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Compare the timescales of genetic versus memetic evolution and the consequences to technology. Also discuss how this relates to the levels of human action as described in the powerpoint on sociocultural trends. Memetic evolution is clearly orders of magnitude faster than genetic evolution since, for example, ideas change within a lifetime of an individual. The logistic map provides an example of a system that bifurcates into chaos in a relatively well-understood way. Xn+1 = kxn(1-xn) creates a remarkably simple system on the surface. For values 0>k<3. 0, when graphed in a cartesian plane, the system produces a straight line. Even for k values ranging from 3. 0 to approximately 3. 6, the output appears simple in that it is cyclical. But for higher values, the results become very complex and apparently random. As k moves from k> 0 to k<4, the system includes more and more solutionsthe behavior becomes complex.

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