Chaotic attractors with cyclic symmetry revisited

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Abstract
  • Chaotic attractors generated by the iteration of polynomial functions with cyclic symmetry have been the subject of recent study. A new formulation is investigated which generates cyclic symmetry using arbitrary functions. This allows the use of diverse function classes including functions with various types of singularities. The resulting images have significantly more diversity than those arising from polynomials, yet the cyclic symmetry of the chaotic attractor is preserved.
TitleChaotic attractors with cyclic symmetry revisited
CreatorJones, K. C.
Reiter, Clifford A.
PublisherComputers and Graphics
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedApril 2000
Date Available2015-04-17T20:18:26Z
TypeArticle
LanguageEnglish
Keywordrotations
chaos
pattern
symmetry
Bibliographic CitationJones, K. C. and C. A. Reiter (2000 Apr.) "Chaotic attractors with cyclic symmetry revisited." Computers and Graphics 24 (2): 271-82.
Standard IdentifierDOI 10.1016/S0097-8493(99)00161-2
Handle 10385/1810
Permalinkhttp://hdl.handle.net/10385/1810
Rights Statement In Copyright In Copyright
Rights HoldersElsevier Science B.V.
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