Event

Jason Mireles James, Florida Atlantic University

Monday, October 22, 2018 16:00to17:00
Burnside Hall Room 1104, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: Blue skies in the four body problem

Suppose that a 2 freedom Hamiltonian system has a saddle focus equilibrium solution. Moreover, assume that the attached stable/unstable manifolds intersect transversally in the energy level. In this case classic theorems of Henrard and Devaney describe the rich dynamics near the intersection. I'll recall the history of these homoclinic phenomena going back to the numerical work of Darwin, Moulton, and Stromgren in the early Twentieth Century. Then I'll discuss some more recent work on the equilateral restricted four body problem.

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