Complex squaring map: Difference between revisions

Revision as of 09:37, 5 August 2009

Revision as of 03:25, 6 August 2009

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The '''complex squaring map''', a [[polynomial]] mapping of [[Quadratic function|degree two]], is a simple and accessible demonstration of [[chaos theory|chaos]] in dynamical systems. It can be constructed by performing the following steps:

: (1) Choose any [[complex number]] on the [[unit circle]] whose [[Arg_(mathematics)|argument]] (complex angle) is not a rational fraction of  π,

: (2) Repeatedly square that number.