Floris Takens

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

Takens studied at the University of Amsterdam and received his PhD in 1969 with Nicolaas Kuiper (The minimal number of critical points of a function on a compact manifold and the Ljusternik - Schnirelmann category ). Subsequently he was a Post- Doc at the IHES in Paris, where he worked with David Ruelle, René Thom and Jacob Palis, in which he was often at IMPA (Instituto Matemática Pura e Aplicada ) in Rio de Janeiro to host. Since 1972 he is professor at the University of Groningen. In 1999 he retired, but remained scientifically active and lived most recently in Bedum.

Takens led Ruelle with the concept of Strange attractor as a possible mechanism of turbulence .. He also stated the conditions under which a Strange attractor from the time series can be reconstructed from observables ..

Takens was a member of the Royal Netherlands Academy of Sciences (1991) and of the Brazilian Academy of Sciences ( 1981). He was a Knight of the Order of the Netherlands Lion, 2005. In 1986 he was invited speaker at the International Congress of Mathematicians (ICM ) in Berkeley (Homo Clinic Bifurcations ).

His PhD is one of Hendrik Broer.

Writings

• With Palis, Sheldon Newhouse Bifurcations and stability of families of diffeomorphisms, Publications Mathématiques de l' IHES, 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 homo clinic orbits, Annals of Mathematics 125, 1987, 337-374.
• Hendrik Broer Dynamical Systems and Chaos, Springer Verlag 2011