Document Type
Lecture
Publication Date
2-18-2016
Abstract
In this talk, we will describe a dynamical mechanism called transverse homoclinic intersection. On one hand, the discovery of this mechanism proved to be very costly for a great mathematician. On the other hand, this mechanism provides the key idea to design very low energy paths that have been used to save millions of dollars for international spaceflight programs. We prove that, generically, every hyperbolic closed geodesic on a convex sphere admits transverse homoclinic intersections.
Relational Format
presentation
Recommended Citation
Zhang, Pengfei, "Homoclinic Intersections for Geodesic Flows on Convex Spheres" (2016). Dynamical Systems Seminar. 8.
https://egrove.olemiss.edu/math_dynamical/8
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