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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 by their complex angle alone. Any choice of starting angle that satisfies (1) above will produce an extremely complicated sequence of angles, that belies the simplicity of the steps. In fact, 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 wikiPageRevisionID "600590747".
- Complex_squaring_map hasPhotoCollection Complex_squaring_map.
- Complex_squaring_map subject Category:Chaotic_maps.
- Complex_squaring_map type Artifact100021939.
- Complex_squaring_map type ChaoticMaps.
- Complex_squaring_map type Creation103129123.
- Complex_squaring_map type Map103720163.
- Complex_squaring_map type Object100002684.
- Complex_squaring_map type PhysicalEntity100001930.
- Complex_squaring_map type Representation104076846.
- Complex_squaring_map type Whole100003553.
- 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 by their complex angle alone.".
- Complex_squaring_map label "Complex squaring map".
- Complex_squaring_map sameAs m.076y0ct.
- Complex_squaring_map sameAs Q5156606.
- Complex_squaring_map sameAs Q5156606.
- Complex_squaring_map sameAs Complex_squaring_map.
- Complex_squaring_map wasDerivedFrom Complex_squaring_map?oldid=600590747.
- Complex_squaring_map isPrimaryTopicOf Complex_squaring_map.