Evelyn Sander Associate Professor Office: Science & Technology Building I, Room 251 Phone: (703) 993-1490 Fax: (703) 993-1491 E-mail: esander@gmu.edu Personal Homepage: math.gmu.edu/~sander

Education

• B.A., 1990, Northwestern University, Honors, Phi Beta Kappa

• Ph.D., 1996, University of Minnesota, Dynamical Systems
  

Research

• Numerical and theoretical methods of dynamical systems. This includes global bifurcations for one-, two, and three-dimensional diffeomorphisms, and finite dimensional noninvertible maps and relations. I also study differential equations modeling pattern formation in materials science, chemistry, and biology. This includes the process of spinodal decomposition in metal alloys modeled by the Cahn-Hilliard equation and animal coat pattern formation modeled by reaction-diffusion equations with Turing instabilities. It also includes modeling and analysis in computational neuroscience.

Selected Publications

• The Structure of Synchronization Sets for Noninvertible Systems.  Chaos, 14 (2): 249-262, 2004, with K. Josic.

• Limits to the Experimental Detection of Nonlinear Synchrony. Physical Review E, 65, 2002, 046225, with P. So, E. Barreto, K. Josic, and S.J. Schiff.

• Explosions: Global bifurcations at heteroclinic tangencies. Ergodic Theory and Dynamical Systems, 22(4):953-972, 2002, with K. Alligood and J. Yorke.

• The geometry of chaos synchronization. Chaos, 13(1):151-164, 2003, with E. Barreto, K. Josic, C. Morales, and P. So.

• Pattern Formation in a Nonlinear Model for Animal Coats. Journal of Differential Equations, 191(1):143-174, 2003, with T. Wanner.
  

Professional Awards and Invitations

• January 1, 2004- December 31, 2005 "A dynamical framework for transient neuronal patterns" (Principal Investigator) NIH-NIMH Grant Number R03MH67659, $140,569.

• Spring, 2002 College of Arts and Sciences Junior Faculty Awards in the Social Sciences and Sciences for "Noninvertibility in Biological Models."

• Summer, 2002 Summer Research Support for Tenure Track Faculty for "Starcy Gels, Sea Shells, and Animal Coats."
  

Students

• Master's Project advisor, Karen Crossin, December, 2003.

• Robert Allen, Undergraduate Senior Thesis, 2003.