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Some elements for a history of the dynamical systems theory.
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L; Rössler, Otto E; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M; Carroll, Thomas L.
Afiliação
  • Letellier C; CORIA, Normandie Université, Campus Universitaire du Madrillet, F-76800 Saint-Etienne du Rouvray, France.
  • Abraham R; Mathematics Department, University of California, Santa Cruz, Santa Cruz, California 95064, USA.
  • Shepelyansky DL; Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France.
  • Rössler OE; Faculty of Science, University of Tübingen, D-72076 Tübingen, Germany.
  • Holmes P; Department of Mechanical and Aerospace Engineering and Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA.
  • Lozi R; Université Côte d'Azur, CNRS, Laboratoire Jean Alexandre Dieudonné, F-06108 Nice, France.
  • Glass L; Department of Physiology, McGill University, 3655 Promenade Sir William Osler, Montreal, Quebec H3G 1Y6, Canada.
  • Pikovsky A; Institute of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany.
  • Olsen LF; Institute of Biochemistry and Molecular Biology, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark.
  • Tsuda I; Center of Mathematics for Artificial Intelligence and Data Science, Chubu University Academy of Emerging Sciences, Matsumoto-cho 1200, Kasugai, Aichi 487-8501, Japan.
  • Grebogi C; Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, Scotland.
  • Parlitz U; Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany and Institute for the Dynamics of Complex Systems, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany.
  • Gilmore R; Department of Physics, Drexel University, Philadelphia, Pennsylvania 19104, USA.
  • Pecora LM; Code 6392, U.S. Naval Research Laboratory, Washington, DC 20375, USA.
  • Carroll TL; Code 6392, U.S. Naval Research Laboratory, Washington, DC 20375, USA.
Chaos ; 31(5): 053110, 2021 May.
Article em En | MEDLINE | ID: mdl-34240941
ABSTRACT
Writing a history of a scientific theory is always difficult because it requires to focus on some key contributors and to "reconstruct" some supposed influences. In the 1970s, a new way of performing science under the name "chaos" emerged, combining the mathematics from the nonlinear dynamical systems theory and numerical simulations. To provide a direct testimony of how contributors can be influenced by other scientists or works, we here collected some writings about the early times of a few contributors to chaos theory. The purpose is to exhibit the diversity in the paths and to bring some elements-which were never published-illustrating the atmosphere of this period. Some peculiarities of chaos theory are also discussed.

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Ano de publicação: 2021 Tipo de documento: Article

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Ano de publicação: 2021 Tipo de documento: Article