Title: Constructing periodic solutions for the 4N-body problem by variational methods
Speaker: Kuo-Chang Chen
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:
We use variational methods to construct a new class of periodic solutions for the 4N-body problem with equal masses. The most attractive feature of the orbits is that the configuration changes periodically from a regular 4N-gon to two homothetic regular 2N-gons. This extends the result in [Arch.Rat.Mech.Ana,158 (2001),293-318] for the case N=1.Date: Monday, October 15, 2001