John Guckenheimer

from Wikipedia, the free encyclopedia
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 (bachelor's degree in 1966) and at the University of California, Berkeley , where he received his doctorate in 1970 under Stephen Smale . As a post-doctoral student , he was at the Institute for Advanced Study from 1970 to 1972 . He was then at the University of Warwick and from 1973 to 1985 at the University of California, Santa Cruz . He was later a professor at Cornell University .

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

In 1984 he was a Guggenheim Fellow. In 1996 he was President of SIAM . In 2008 he was elected to the American Academy of Arts and Sciences . For 2013 he was awarded the Leroy P. Steele Prize with Philip Holmes for her book on dynamic systems. He is a fellow of the American Mathematical Society .

Guckenheimer was temporarily married to the mathematician Jean Taylor .


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

Web links

Individual evidence

  1. He also wrote the review by René Thom Stabilité structurelle et morphogenese in the Bulletin of the AMS, Volume 79, 1973, pp. 878-890.