Education

• Ph.D., 1979. University of Maryland

• M.S., 1974, University of Maryland

• B.A., 1970, George Washington University
  

Research

• Nonlinear dynamics and topology, with an emphasis on global bifurcations and chaos
  

Recent Publications

• Rotation intervals for chaotic sets, with J. Yorke, Proceedings of the Amer. Math. Soc. 126, No. 9 (1998), 2805--10

• Outer Tangency Bifurcations of Chaotic Sets, with E. Ott, C. Robert, and J. Yorke, Phys. Rev. Lett. 80 (1998), 4867--70

• Continued fractions hierarchy of rotation numbers in planar dynamics, with C. Robert, T. Sauer, Phys. Rev. Lett. 83 (1999), 3629-32

• Explosions of chaotic sets, with E. Ott, C. Robert, and J. Yorke, Physica D, 2000

• Explosions: Global Bifurcations at Heteroclinic Tangencies, with E. Sander and J. Yorke, in Ergodic Theory and Dynamical Systems, 2002

• A Three--Dimensional Crisis: Crossing Bifurcations and Unstable Dimension Variability, with E. Sander and J. Yorke, submitted to Phys. Rev. Lett.

Book

• Chaos: An Introduction to Dynamical Systems, with T. Sauer and J. Yorke.  Springer--Verlag: New York. 1996