Skip to content
Search events. View events.
 

All Categories

ADMIN LOGIN

Welcome to the Laurier Calendar of Events. Please use the Help button to the right for any assistance while using the Calendar.

Click for help in using calendar displays. Print the contents of the current screen.

Advanced Search

(New Search)
  From:
  To:


 

 


SEARCH
Event Details
Notify me if this event changes.Add this event to my personal calendar.Email this event to a friend.
Go Back
Singular Periodic Brake Orbits in the Planar Pairwise Symmetric Four-Body Problem
Start Date: 3/28/2018Start Time: 4:00 PM
End Date: 3/28/2018End Time: 5:00 PM

Event Description:

Speaker

Lennard Bakker, Brigham Young University

Lennard Bakker is a Professor in the Department of Mathematics at Brigham Young University. He is interested in the existence, through topological means, of symmetric periodic orbits in n-body problems with gravitational interactions, especially periodic orbits that experience regularizable collisions. Other interests are Smale's trivial centralizer problems for maps and flows, and the topological classification problem for hyperbolic total automorphisms.

Title

Singular Periodic Brake Orbits in the Planar Pairwise Symmetric Four-Body Problem

Abstract

We prove the existence of the periodic brake orbits that experience two distinct regularizable simultaneous binary collisions per period, in the planar pairwise symmetric four-body problem with equal masses and full symmetry among the positions of the four bodies. The analytic existence of the singular periodic brake orbits is based on differential inequalities, qualitative techniques, and the gradient-like flow on the total collision manifold obtained by the blow-up coordinates of McGehee. Before outlining the proof (through many pictures), we review some of the 44 year history of the many applications of McGehee blow-up coordinates to various N-body problems.

Further details are at https://www.ms2discovery.wlu.ca/seminar/18_03_28.html.

Refreshments will be provided.

For more information please visit us at https://ms2discovery.wlu.ca/ms2events.

Location Information:
Waterloo - Lazaridis Hall

Waterloo - Lazaridis Hall
Room: LH3058
Contact Information:
Name: Professor M. Santoprete
Phone: 519.884.0710 x2407
Email: msantoprete@wlu.ca
Audience(s):
  • Everyone (open to public)
  • Event Organizer(s):
  • Faculty of Science
  • Cost:
    No cost.
    Categories associated with this event:

    Calendar Software powered by Active Calendar and Active Data Calendar   
    Select item(s) to Search
    Select item(s) to Search
    Select item(s) to Search






    Select item(s) to Search