Lessons Learned from Twenty Years of Chaos and Complexity


University of Wisconsin-Madison

This article is a condensed version of an invited lecture given at the 24th Annual Conference of the Society for Chaos Theory in Psychology and Life Sciences on August 1, 2014

Ref: J. C. Sprott, Society for Chaos Theory in Psychology & Life Sciences Newsletter 22, October 2014-6-9 (2014)

The complete paper is available in PDF format.

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Fig. 1
Fig. 1. Science is the study of cause-effect relationships for agents, whose internal workings usually involve other agents.

Fig. 2
Fig. 2. Two simple examples of nonlinearities, one slower than linear and the other faster than linear.

Fig. 3
Fig. 3. Most scientists, of necessity, are studying a small part of a much larger network, hoping that the part not being studied can be treated as a fixed external stimulus, often leading to erroneous conclusions and predictions.

Fig. 4

Fig. 4. The simplest nonlinear networks that are capable of exhibiting chaos.