@article{cbefd3ee454343d98ca6fa92194678be,

title = "Some elements for a history of the dynamical systems theory",

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 Poincar{\'e}{\textquoteright}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.",

author = "Christophe Letellier and Ralph Abraham and Shepelyansky, {Dima L.} and R{\"o}ssler, {Otto E.} and Philip Holmes and Ren{\'e} Lozi and Leon Glass and Arkady Pikovsky and Olsen, {Lars F.} and Ichiro Tsuda and Celso Grebogi and Ulrich Parlitz and Robert Gilmore and Pecora, {Louis M.} and Carroll, {Thomas L.}",

note = "Leon Glass would like to thank the Natural Sciences and Engineering Research Council (Canada) for its continuous support of curiosity-driven research for over 40 years starting with the events recounted here. He also thanks his colleagues and collaborators including Stuart Kauffman, Rafael Perez, Ronald Shymko, Michael Mackey for their wonderful insights and collaborations during the times recounted here. R.G. is endebted to the following friends and colleagues, listed in the order encountered on the road described: F. T. Arecchi, L. M. Narducci, J. R. Tredicce, H. G. Solari, E. Eschenazi, G. B. Mindlin, J. L. Birman, J. S. Birman, P. Glorieux, M. Lefranc, C. Letellier, V. Messager, O. E. R{\"o}ssler, R. Williams. U.P. would like to thank the following friends and colleagues who accompanied his first steps into the world of nonlinear phenomena: U. Dressler, I. Eick, V. Englisch, K. Geist, J. Holzfuss, T. Klinker, W. Knop, A. Kramer, T. Kurz, W. Lauterborn, W. Meyer-Ilse, C. Scheffczyk, E. Suchla and M. Wisenfeldt. The work by L. Pecora and T. Carroll was supported directly by the Office of Naval Research (ONR) and by ONR through the Naval Research Laboratory{\textquoteright}s Basic Research Program. C.L. would like to thank J{\"u}rgen Kurths for his support to this project.",

year = "2021",

month = may,

doi = "10.1063/5.0047851",

language = "English",

volume = "31",

journal = "Chaos",

issn = "1054-1500",

publisher = "American Institute of Physics",

number = "5",

}