Fractal bifurcation sets - Renormalization strange sets and their universal invariants

Details Fractal bifurcation sets - Renormalization strange sets and their universal invariants Fractal bifurcation sets - Renormalization strange sets and their universal invariants

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413...45r&link_type=abstract

(Royal Society, Discussion on Dynamical Chaos, London, England, Feb. 4, 5, 1987) Royal Society (London), Proceedings, Series A -

Mathematics

9

Branching (Mathematics), Chaos, Fractals, Strange Attractors, Invariance, Period Doubling, Set Theory, Transformations (Mathematics)

Scientific paper

The transition structure of the most common routes to chaos are organized by fractal bifurcation sets. Examples include the quasi-periodic transitions to chaos and the period-doubling structure found in Arnol'd tongues. In this paper, the universality of such fractal bifurcation sets and their relation to strange invariant sets of renormalization transformations are discussed. An important result is that fractal bifurcation sets from within the same universality chaos are lipeomorphic. This implies that they have the same fractal structure and, in particular, the same Hausdorff dimension and scaling spectra. Some other invariants are introduced.

Affiliated with

Also associated with

No associations

Rating

Fractal bifurcation sets - Renormalization strange sets and their universal invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractal bifurcation sets - Renormalization strange sets and their universal invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractal bifurcation sets - Renormalization strange sets and their universal invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1677985