Floris Takens

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Floris Takens (born November 12, 1940 in Zaandam ; † June 20, 2010 ) was a Dutch mathematician who dealt with dynamic systems and chaos theory (bifurcation theory, time series analysis).

Floris Takens 1980 in Warwick

Takens studied at the University of Amsterdam and did his doctorate in 1969 with Nicolaas Kuiper ( The minimal number of critical points of a function on a compact manifold and the Ljusternik-Schnirelmann category ). He then worked as a post-doc at IHES near Paris , where he worked with David Ruelle , René Thom and Jacob Palis , where he was a frequent guest at the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro . Since 1972 he was a professor at the University of Groningen . He retired in 1999, but remained scientifically active and last lived in Bedum .

Takens and Ruelle introduced the concept of the strange attractor as a possible mechanism of turbulence . He also gave conditions under which a strange attractor can be reconstructed from time series of observables.

Takens was a member of the Royal Netherlands Academy of Sciences (1991) and the Brazilian Academy of Sciences (1981). In 2005 he became a Knight of the Order of the Dutch Lion. In 1986 he was invited speaker at the International Congress of Mathematicians (ICM) in Berkeley (Homoclinic bifurcations).

Hendrik Broer is one of his doctoral students .

Fonts

  • with Palis: Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations , Cambridge University Press, 1993
  • with Palis, Sheldon Newhouse Bifurcations and stability of families of diffeomorphisms , Publications Mathématiques de l'IHÉS, Volume 57, 1983, pp. 1-71
  • with Palis Stability of Parameterized Families of Gradient Vector Fields , Annals of Mathematics 118, 1983, 383-421
  • with Palis: Cycles and Measure of Bifurcation Sets for Two-Dimensional Diffeomorphisms , Inventiones Mathematicae 82, 1985, 397-422
  • with Palis: Hyperbolicity and Creation of Homoclinic Orbits , Annals of Mathematics 125, 1987, 337-374.
  • with Hendrik Broer Dynamical Systems and Chaos , Springer Verlag 2011

Web links

References

  1. ↑ Ruelle, Takens' "On the nature of turbulence", Communications of Mathematical Physics, Vol. 20, 1971, pp. 167-192.
  2. ↑ Takens "Detecting strange attractors in turbulence", in Rand, L.-S. Young (editor): Dynamical Systems and Turbulence - Warwick 1980, Lecture Notes in Mathematics, Vol. 898, 1981, Springer-Verlag, p. 366– 381.
personal data
SURNAME Takens, Floris
BRIEF DESCRIPTION Dutch mathematician
DATE OF BIRTH November 12, 1940
PLACE OF BIRTH Zaandam
DATE OF DEATH June 20, 2010