Some elements for a history of the dynamical systems theory

Christophe Letellier* (Corresponding Author), Ralph Abraham, Dima L. Shepelyansky, Otto E. Rössler, Philip Holmes, René Lozi, Leon Glass, Arkady Pikovsky, Lars F. Olsen, Ichiro Tsuda, Celso Grebogi, Ulrich Parlitz, Robert Gilmore, Louis M. Pecora, Thomas L. Carroll

*Corresponding author for this work

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Abstract

Chaos is a word which is, in Science, very often quickly associated with the overgeneralized butterfly effect, inherited from the title of a talk given in 1972 by Edward Lorenz, one of the great contributors to the so-called Chaos theory. This theory is a branch of the nonlinear dynamical systems (NDS) theory which was boosted by Poincaré’s works at the late 19th century. It was then further developed by many great mathematicians for few decades. In the 1960s, with the occurence of computers, chaos theory emerged as a new methodology which is neither “pure” mathematics nor disconnected from the strongly mathematical NDS theory. The scientists working on chaos constitute a very interdisciplinary community whose emergence is associated with a high rate of disciplinary migration. Some of its contributors describe here how this migration occured.
Original languageEnglish
Article number053110
Number of pages21
JournalChaos
Volume31
Issue number5
Early online date7 May 2021
DOIs
Publication statusPublished - 7 May 2021

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