MATH 6260

Last Updated

  • Schedule of Classes - March 3, 2021 7:15PM EST
  • Course Catalog - March 3, 2021 7:16PM EST

MATH 6260
Dynamical Systems

Course information provided by the Courses of Study 2020-2021.

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.

View Enrollment Information

Syllabi: none

  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16652 MATH 6260   LEC 001

  •  

  • Instruction Mode: In Person Transition to Online
    Enrollment limited to students who are able to attend in-person classes in the Ithaca area.

Syllabi: none

  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 20484 MATH 6260   LEC 002

  •  
    • MWF Online Meeting
    • Sep 2 - Dec 16, 2020

    • Clark, W

  • Instruction Mode: Online