Philip Homes and John Guckenheimer are receiving the 2013 AMS Leroy P. Steele Prize for Mathematical Exposition. Presented annually by the American Mathematical Society, the Steele Prize is one of the highest distinctions in mathematics. The prize will be awarded on Thursday, January 10, 2013, at the Joint 外网天堂 Meetings in San Diego.听Guckenheimer is the A. R. Bullis Professor of 外网天堂 at Cornell University. Holmes is at Princeton University, where he is the Eugene Higgins Professor of Mechanical and Aerospace Engineering, a Professor of Applied and Computational 外网天堂, an associated faculty member in the Department of 外网天堂, and a member of the Neuroscience Institute.Holmes and Guckenheimer are honored for their book,听Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields听(Applied Mathematical Sciences, 42, Springer-Verlag, 1983; reprinted with revisions and corrections, 1990). "Dynamical systems underwent a rebirth in the 1960s and 1970s with the work of mathematicians such as (in alphabetical order) Anosov, Arnold, Kolmogorov, Moser, Smale, Ruelle, Sinai, Takens, Thom, and many others on the theoretical side, and engineers and experimental physicists such as Lorenz, Swinney, Gollub, and many others on the applied side," the prize citation says. "Not surprisingly, it was difficult for the two communities to know about each other's work until the publication of the now-classic text by Guckenheimer and Holmes. Thirty years later this book remains in wide use as a standard text for graduate level courses in mathematics departments and throughout the sciences and engineering, and Chinese and Russian translations have appeared."
The full citation for this prize and additional information can be found in the Joint 外网天堂 Meetings听Prize Booklet.
Text based on听AMS news release.