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"Polynomial Dynamical Systems and the Global Attractor Conjecture"

Dr. Gheorghe Craciun, University of Wisconsin

Wednesday, April 5, 2017
  3:40–5 p.m.

Location: Surge Building 284
  Parking Information

Category: Colloquium

Description: Polynomial dynamical systems are very common in applications. For example, population dynamics models for the spread of infectious diseases or the dynamics of species in a ecosystem are often polynomial dynamical systems.  On the other hand, there are many important unsolved problems about these systems: for example, Hilbert's 16th problem about limit cycles, and problems about chaotic dynamics.  We will describe the Global Attractor Conjecture, which says that a large class of polynomial dynamical systems has solutions that converge to a fixed point, and in particular cannot exhibit cycles or chaotic dynamics. We will discuss an approach for proving this conjecture, as well as connections with the Boltzmann equation and implications for models of population dynamics.

Additional Information: Math Colloquiums

Open to: General Public
Admission: Free
Sponsor: Mathematics

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