Upcoming Seminar

Talk: Exponentially small phenomena: when classical perturbation theory fails

Lecturer: Prof. Tere M. Seara, Universitat Politecnica de Catalunya, Barcelona, Spain.

Time and place: Friday, 1/29/2010 , 4:00-5:00 PM, SCI-242.

Abstract: Perturbations of integrable systems are usually studied using classical perturbation theory. A classical example is the problem of the splitting of separatrices, that is, the study of the stable and unstable manifolds of a hyperbolic critical point in a system which is close to integrable. When the system is integrable the manifolds coincide. The classical method to study this splitting is the Melnikov method, which provides a formula that gives, up to first order, the distance between the perturbed manifolds. We will show very easy models where this theory fails because the distance between the manifolds is a phenomenon "beyond all orders".

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Calendar

Talk: A matrix presentation for and computational approach to a topological classification problem

Lecturer: Tanya Cofer and Donald Barkley, Department of Mathematics, Northeastern Illinois University.

Time and place: Friday, 10/09/2009 , 2:30-3:30 PM, SCI-242.

Talk: Charge Model 5M for Population Analysis

Lecturer: Steven V. Jerome, Department of Chemistry, Northeastern Illinois University.

Time and place: Friday, 10/23/2009 , 2:30-3:30 PM, SCI-242.

Talk: Dynamics of a Population Model

Lecturer: Dr. Catalin Georgescu, Department of Mathematics, The University of South Dakota.

Time and place: Friday, 11/06/2009 , 2:30-3:30 PM, SCI-242.

Talk: The Three-Body Problem

Lecturer: Marian Gidea, Department of Mathematics, Northeastern Illinois University

Time and place: Friday, 11/13/2009 , 2:30-3:30 PM, SCI-242.

Presentation: Actuarial Careers: What Allstate Has to Offer.

Presenters: Ivan Fernandez and Justin Panther, Allstate Actuarial

Time and place: Friday, 11/20/2009 , 2:30-3:30 PM, SCI-242.

Talk: Ropes in R^3 and ribbons in R^2
Lecturer: Nancy Wrinkle, Department of Mathematics,
Northeastern Illinois University
Time and place: Friday, 12/04/2009 , 2:30-3:30 PM, SCI-242.