MATH 6260

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  • Schedule of Classes - January 31, 2019 7:14PM EST
  • Course Catalog - January 31, 2019 7:15PM EST

MATH 6260
Dynamical Systems

Course information provided by the Courses of Study 2018-2019.

Topics include existence and uniqueness theorems for ODEs; Poincaré-Bendixon theorem and global properties of two dimensional flows; limit sets, nonwandering sets, chain recurrence, pseudo-orbits and structural stability; linearization at equilibrium points: stable manifold theorem and the Hartman-Grobman theorem; and generic properties: transversality theorem and the Kupka-Smale theorem. Examples include expanding maps and Anosov diffeomorphisms; hyperbolicity: the horseshoe and the Birkhoff-Smale theorem on transversal homoclinic orbits; rotation numbers; Herman's theorem; and characterization of structurally stable systems.

When Offered Fall.

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Syllabi: none

  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16308 MATH 6260   LEC 001

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