Abstract
The mathematical structure governing simple cell mappings is further studied in this paper. The topics investigated are: the relationship between degeneracy of a cell simplex and the number of periodic orbits contained in the cell simplex, Liapunov functions for simple cell mappings, invariance principle and certain global stability questions. Unlike the algorithmic and computational approach to examine the behavior of simple cell mappings, the Liapunov function approach provides us with a different and yet instructive perspective.
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