Two-parameter areal scaling in the Hénon map

Gonzalo Marcelo Ramírez-Ávila, I. Jánosi, Jason A.C. Gallas

Research output: Contribution to journalArticle

Abstract

We study a bifurcation cascade whose proper unfolding requires tuning more than one parameter simultaneously. Specifically, we investigate metric properties of extended self-similar triangular areas observed recently in the control parameter space of flows (lasers and electronic circuits), and maps. Such areas are delimited by shrimplike stability islands, seem to arise in unbounded quantities, and to accumulate in narrow intervals of control parameters. Numerically, we find their asymptotic rate of accumulation to be unity. The asymptotic properties of triangle vertices and their centroids are also investigated.

Original languageEnglish
Article number20001
JournalEPL
Volume126
Issue number2
DOIs
Publication statusPublished - Jan 1 2019

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scaling
asymptotic properties
triangles
centroids
unity
cascades
apexes
tuning
intervals
electronics
lasers

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ramírez-Ávila, G. M., Jánosi, I., & Gallas, J. A. C. (2019). Two-parameter areal scaling in the Hénon map. EPL, 126(2), [20001]. https://doi.org/10.1209/0295-5075/126/20001

Two-parameter areal scaling in the Hénon map. / Ramírez-Ávila, Gonzalo Marcelo; Jánosi, I.; Gallas, Jason A.C.

In: EPL, Vol. 126, No. 2, 20001, 01.01.2019.

Research output: Contribution to journalArticle

Ramírez-Ávila, GM, Jánosi, I & Gallas, JAC 2019, 'Two-parameter areal scaling in the Hénon map', EPL, vol. 126, no. 2, 20001. https://doi.org/10.1209/0295-5075/126/20001
Ramírez-Ávila, Gonzalo Marcelo ; Jánosi, I. ; Gallas, Jason A.C. / Two-parameter areal scaling in the Hénon map. In: EPL. 2019 ; Vol. 126, No. 2.
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