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Universal features of tangent bifurcation
journal contribution
posted on 2023-05-18, 04:57 authored by Robert DelbourgoRobert Delbourgo, Kenny, BGWe exhibit certain universal characteristics of limit cycles pertaining to one-dimensional maps in the 'chaotic' region beyond the point of accumulation connected with period doubling. Universal, Feigenbaum-type numbers emerge for different sequences, such as triplication. More significantly, we have established the existence of different classes of universal functions which satisfy the same renormalization group equations, with the same parameters, as the appropriate accumulation point is reached.
History
Publication title
Australian Journal of PhysicsVolume
38Pagination
1-22ISSN
0004-9506Department/School
School of Natural SciencesPublisher
CSIRO PublishingPlace of publication
AustraliaRepository Status
- Restricted