Timothy J. Healey

Professor

Publications

List of Publications

Biographical Sketch

John M. Guckenheimer

Abram R. Bullis Professor Emeritus of Mathematics

Publications

Analytic Research Foundations for the Next-Generation Electric Grid, (sixteen authors), National Academies Press, 2016, http://www.nap.edu/21919
Constructing predictive models of human running (with H-M. Maus, S. Revzen, C. Ludwig, J. Reger, A. Seyfarth) J. R. Soc. Interface 12:20140899 (2015).
Shilnikov homoclinic bifurcation of mixed-mode oscillations (with Ian Lizarraga) , SIAM J. Appl. Dyn. Syst. 14-2 (2015), 764-786.
Mixed-Mode Oscillations with Multiple Time Scales (with M. Desroches, B. Krauskopf, C. Kuehn, H. Osinga and M. Wechselberger), SIAM Review 54:2 (2012), 211-288.
Fruit flies modulate passive wing pitching to generate in-flight turns (with A. Bergou, L. Ristroph, I. Cohen, and Z. Wang), Phys. Rev. Lett. 104 (2010), 148101.
Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator (with Erik Sherwood and Ronald Harris-Warrick), J. Comp. Neurosci. (2010); DOI 10.1007/s10827-010-0259-y.
Computing slow manifolds of saddle type (with Christian Kuehn), SIAM J. App. Dyn. Sys. 8 (2009), 854–879.
Dynamic Models in Biology (with Steve Ellner), Princeton U. Press, 2006, 352 pp.
Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields (with P. Holmes), Springer-Verlag, 1983, 453 pp.

Xiaodong Cao

Professor

Publications

The Weyl tensor of gradient Ricci solitons (with Hung Tran), Geometry & Topology, to appear.
Curvature pinching estimate and singularities of the Ricci flow, Communications in Analysis and Geometry 19 no. 5 (2011), 975–990.
The conjugate heat equation and ancient solutions of the Ricci flow (with Qi S. Zhang), Advances in Mathematics 228 no. 5 (2011), 2891–2919.
Differential Harnack estimates for time-dependent heat equations with potentials (with Richard Hamilton), Geom. Funct. Anal. 19 no. 4 (2009), 989–1000.
Differential Harnack estimates for backward heat equations with potentials under the Ricci flow, J. Funct. Anal. 255 no. 4 (2008), 1024–1038.

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