A short historical account of period doublings in the pre-renormalization era

Pierre Collet

doi:10.1016/j.crme.2019.03.007

Patterns and dynamics: homage to Pierre Coullet / Formes et dynamique : hommage à Pierre Coullet

A short historical account of period doublings in the pre-renormalization era
[Une courte histoire du doublage de période dans l'ère de la pré-normalisation]

Pierre Collet ¹

¹ Centre de physique théorique, CNRS UMR 7644, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mécanique, Volume 347 (2019) no. 4, pp. 287-293.

Résumé
Abstract

Cet article décrit brièvement l'histoire des expériences et des développements théoriques du doublage de période jusqu'à la découverte des propriétés quantitatives universelles de la cascade infinie.

I will shortly review the history of experimental and theoretical findings on period doubling until the discovery of the quantitative universal properties of the infinite period-doubling cascade.

Reçu le : 2018-10-05
Accepté le : 2019-01-15
Publié le : 2019-04-01

DOI : 10.1016/j.crme.2019.03.007

Keywords: Period doubling, Bifurcation
Mot clés : Doublage de période, Bifurcation

Affiliations des auteurs :

Pierre Collet ¹

¹ Centre de physique théorique, CNRS UMR 7644, École polytechnique, 91128 Palaiseau cedex, France

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Pierre Collet. A short historical account of period doublings in the pre-renormalization era. Comptes Rendus. Mécanique, Volume 347 (2019) no. 4, pp. 287-293. doi : 10.1016/j.crme.2019.03.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.03.007/

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