PhD in Applied Mathematics - Dynamical Systems and Ordinary Differential Equations in Ithaca United States | Cornell University

Graduate studies offer diverse possibilities aligned with faculty expertise, with over one hundred specialists across fourteen departments from the Colleges of Engineering, Arts and Sciences, Agriculture and Life Sciences, and the Samuel Curtis Johnson Graduate School of Management. Students can further broaden their studies through minor subject selections. The Applied Mathematics program typically admits candidates with strong mathematical foundations, primarily those pursuing a Ph.D., with around forty students enrolled in the four-to-five-year program.

Dynamical systems research spans from molecular vibrations to celestial mechanics, touching upon physical, biological, social sciences, and engineering. Investigations range from complex real-world systems like neural networks and power grids to theoretical explorations of abstract mathematical constructs. Recent CAM research has examined bubble oscillations, mosquito flight dynamics, cooperative behavior emergence, and predator-prey evolutionary patterns. Cornell has long been a hub for this field, with CAM at its core. Faculty members such as Steve Ellner, John Guckenheimer, and Jane Wang teach dynamical systems courses and mentor students. Many leverage CAM's interdisciplinary environment to blend experimental, theoretical, and computational approaches in their research.