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- Complex_squaring_map abstract "In mathematics, the complex squaring map, a polynomial mapping of degree two, is a simple and accessible demonstration of chaos in dynamical systems. It can be constructed by performing the following steps: Choose any complex number on the unit circle whose argument (complex angle) is not a rational fraction of π, Repeatedly square that number.This repetition (iteration) produces a sequence of complex numbers that can be described alone by their complex angle. Any choice of starting angle that satisfies (1) above will produce an extremely complicated sequence of angles, that belies the simplicity of the steps. It can be shown that the sequence will be chaotic, i.e. it is sensitive to the detailed choice of starting angle.".
- Complex_squaring_map wikiPageID "23868295".
- Complex_squaring_map wikiPageLength "3170".
- Complex_squaring_map wikiPageOutDegree "15".
- Complex_squaring_map wikiPageRevisionID "695235218".
- Complex_squaring_map wikiPageWikiLink Argument_(complex_analysis).
- Complex_squaring_map wikiPageWikiLink Category:Chaotic_maps.
- Complex_squaring_map wikiPageWikiLink Chaos_theory.
- Complex_squaring_map wikiPageWikiLink Complex_number.
- Complex_squaring_map wikiPageWikiLink Complex_quadratic_polynomial.
- Complex_squaring_map wikiPageWikiLink Dyadic_transformation.
- Complex_squaring_map wikiPageWikiLink Logistic_map.
- Complex_squaring_map wikiPageWikiLink Orbit_(dynamics).
- Complex_squaring_map wikiPageWikiLink Polynomial.
- Complex_squaring_map wikiPageWikiLink Quadratic_function.
- Complex_squaring_map wikiPageWikiLink Radian.
- Complex_squaring_map wikiPageWikiLink Radix.
- Complex_squaring_map wikiPageWikiLink Unit_circle.
- Complex_squaring_map wikiPageWikiLinkText "Complex squaring map".
- Complex_squaring_map wikiPageWikiLinkText "complex squaring map".
- Complex_squaring_map wikiPageUsesTemplate Template:Chaos_theory.
- Complex_squaring_map wikiPageUsesTemplate Template:Reflist.
- Complex_squaring_map wikiPageUsesTemplate Template:Wikibooks.
- Complex_squaring_map subject Category:Chaotic_maps.
- Complex_squaring_map hypernym Demonstration.
- Complex_squaring_map type ArtificialSatellite.
- Complex_squaring_map type Function.
- Complex_squaring_map comment "In mathematics, the complex squaring map, a polynomial mapping of degree two, is a simple and accessible demonstration of chaos in dynamical systems. It can be constructed by performing the following steps: Choose any complex number on the unit circle whose argument (complex angle) is not a rational fraction of π, Repeatedly square that number.This repetition (iteration) produces a sequence of complex numbers that can be described alone by their complex angle.".
- Complex_squaring_map label "Complex squaring map".
- Complex_squaring_map sameAs Q5156606.
- Complex_squaring_map sameAs m.076y0ct.
- Complex_squaring_map sameAs Q5156606.
- Complex_squaring_map wasDerivedFrom Complex_squaring_map?oldid=695235218.
- Complex_squaring_map isPrimaryTopicOf Complex_squaring_map.