Comptes Rendus
no. 4
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
Pierre Collet1
1 Centre de physique théorique, CNRS UMR 7644, École polytechnique, 91128 Palaiseau cedex, France
Comptes Rendus. Mécanique, Patterns and dynamics: homage to Pierre Coullet / Formes et dynamique: hommage à Pierre Coullet, Volume 347 (2019) no. 4, pp. 287-293.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2019.03.007
Keywords: Period doubling, Bifurcation
Mots-clés : Doublage de période, Bifurcation

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