Scaling in a map of the two-torus

Authors
Briggs, KM Alvarez, G
Citation
Km. Briggs et G. Alvarez, Scaling in a map of the two-torus, EXP MATH, 9(2), 2000, pp. 301-307
Citations number
14
Categorie Soggetti
Mathematics
Journal title
EXPERIMENTAL MATHEMATICS
ISSN journal
10586458 → ACNP
Volume
9
Issue
2
Year of publication
2000
Pages
301 - 307
Database
ISI
SICI code
1058-6458(2000)9:2<301:SIAMOT>2.0.ZU;2-0
Abstract
We discuss scaling in the parameter space of a family of maps arising from the iteration of a map of the two-torus defined in terms of a jacobian elli ptic function. This map appears to show a complex analog of the Feigenbaum- Kadanoff-Shenker scaling found in bifurcation sequences of circle maps.