John Guckenheimer

John Guckenheimer ( born September 26, 1945 in Baton Rouge, Louisiana) is an American mathematician who deals with dynamic systems.

Guckenheimer studied at Harvard University ( BA 1966) and at the University of California, Berkeley, where he earned his doctorate at Stephen Smale 1970. As a post - graduate student, he was from 1970 to 1972 at the Institute for Advanced Study. After that, he was at the University of Warwick and from 1973 to 1985 at the University of California, Santa Cruz. Later he was a professor at Cornell University.

Guckenheimer concerned with dynamic systems ( bifurcations, systems with different time scales ), especially in biological models such as the nervous system (including the experimental comparison with small crabs ). He also developed new algorithms for studying periodic orbits and their bifurcations in dynamical systems, and developed a (freely accessible ) software system Ds tool for the study of dynamical systems.

In 1984 he was Guggenheim Fellow. In 1996 he was president of SIAM. For 2013, the Leroy P. Steele Prize him was awarded for her book on Dynamical systems with Philip Holmes. He is a Fellow of the American Mathematical Society.

Guckenheimer was temporarily married to the mathematician Jean Taylor.

Writings

  • Philip Holmes: Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields, Springer - Verlag, 1983
  • Catastrophes and Partial Differential Equations, Annales Inst Fourier, Volume 23, 1973, p 31-59
  • Bifurcation and Catastrophe, in M. Peixoto Dynamical Systems, Academic Press 1973, pp. 99-110
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