Department of Mathematics
The Yin and Yang of Chaos and Order

James Stanard
February 15, 2000.

Abstract. For centuries, scientists have recognized that from relatively simple systems, chaos emerged. Systems could only be tracked for a short time before accumulated error blew up to enormous proportions. It seemed that at last Nature had finally won with its impossible indeterminism. Now, Science is showing that a balance exists between Chaos and Order at which highly interesting patterns emerge. In fact, it seems that systems gravitate toweard this balance, thus creating emergent behavior in many systems ranging from Ecology to Economy. This is about these very Systems.


Lecture Notes

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