Seminar Geometry, Topology, Dynamical Systems (2013-2014)
Sep 17, 24, Oct 1, 8, 14:
Changsong Li, Braids and Temperley-Lieb algebra
Oct 22, 29, Nov 12, 19, Dec 3, 10:
T. Hagge, An Introduction to the Character Theory of Representations
Oct 26: V. Dragovic, Siebeck-Marden Theorem
Nov 2: M. Dabkowski, Why knot?
Nov 9: M. Dabkowski, Polynomial Knot Invariants
T. Hagge: What is a 3-Manifold?
A. Phung: The number of intersections of plane algebraic curves
I. Zelenko (Texas A&M) : Geometry of nonholonomic distributions with given Jacobi symbol.
Feb 15: M. Dabkowski, Kauffman Bracket Skein Module of a 3-manifold
Feb 18: Derege H.Mussa, Texas A&M University-Commerce, Reconstruction of tetrahedron from Edge length
Gabriele La Nave, Isotropic curvature, macroscopic dimension and fundamental group
Apr 15: O. Makarenkov, A perturbation approach to study the dynamics of nonlinear differential equations
Electrical Engineering, University of Texas at Dallas
Swarming with Connectivity via Lagrange-Poincare Equations
One of the important goals of a multi-agent mobile network is coverage or surveillance of a given
area. This requires the agents to swarm or move in formation along a desired path/trajectory.
In other words, it is desired that the centroid of the formation move along a specified desired
trajectory. In addition when avoiding contact with the environment is an issue, we may also want
to specify a desired orientation trajectory of the multi-agent system.
While the swarming operation is under way, it is still desired to achieve and maintain a desired
connectivity measure whenever information sharing between agents in the network is required.
In this work, we propose a framework which nearly decouples the control design for these two
potentially conflicting goals by exploiting the inherent symmetries of mechanical systems.
University of Texas at Dallas
A perturbation approach to study the dynamics of nonlinear differential equations, II
Some interesting examples will be presented
May 6, 13
M. Dabkowski, SL(2C) character varieties