Effect of noise on the critical golden-mean quasiperiodic dynamics in the circle map

Alexander P. Kuznetsov, Sergey P. Kuznetsov and Julia V. Sedova

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 48-64

Abstract: Scaling regularities are examined associated with effect of additive noise on a critical circle map at the golden-mean rotation number. We present an improved numerical estimate for the scaling constant of Hamm and Graham (Phys. Rev. A46, (1992) 6323) responsible for the effect of noise, γ=2.3061852653. Decrease of the noise amplitude by this number ensures possibility to distinguish one more level of fractal-like structure, associated with increase of characteristic time scale by the golden mean factor (5+1)/2. Numeric results demonstrating evidence of the expected scaling are presented, e.g. portraits of the noisy attractors, devil's staircase plots, Lyapunov charts on the parameter plane in different scales.

Keywords: Circle map; Golden mean; Noise; Renormalization; Scaling (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437105004413
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:48-64

DOI: 10.1016/j.physa.2005.05.002

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().