TY - JOUR

T1 - On the universality class dependence of period doubling indices

AU - Feingold, Mario

AU - Gonzalez, Diego L.

AU - Magnasco, Marcelo O.

AU - Piro, Oreste

N1 - Funding Information:
We thank H. Fanchiotti, E. Fradkin, P. Glendin-ing, M. Santangelo and H. Vucetich for helpful discussions. This work has been supported in part by NSF-DMR under grant number 85-l 9460 and by Consejo National de Investigaciones Cientificas y Tecnicas of the Republic of Argentina. Part of this work was done while O.P. was visiting the Center for Nonlinear Studies at the Los Alamos National Laboratory. He thanks D.J. Farmer for his warm hospitality.

PY - 1991/6/24

Y1 - 1991/6/24

N2 - The dependence on ν of the period doubling scaling indices for unimodal maps with a critical point of the form |x|ν is numerically investigated. A new symbolic dynamics based computation technique working in configuration space is introduced. The existence of an upper bound for δ(ν→∞) is numerically verified. An accurate estimate of 29.8 is given for this limit. Moreover, the global functional form of δ(ν) is shown to have an interesting symmetry.

AB - The dependence on ν of the period doubling scaling indices for unimodal maps with a critical point of the form |x|ν is numerically investigated. A new symbolic dynamics based computation technique working in configuration space is introduced. The existence of an upper bound for δ(ν→∞) is numerically verified. An accurate estimate of 29.8 is given for this limit. Moreover, the global functional form of δ(ν) is shown to have an interesting symmetry.

UR - http://www.scopus.com/inward/record.url?scp=0013547627&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(91)90173-6

DO - 10.1016/0375-9601(91)90173-6

M3 - Article

AN - SCOPUS:0013547627

SN - 0375-9601

VL - 156

SP - 272

EP - 276

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -