MATH 6270

Last Updated

  • Schedule of Classes - June 7, 2023 8:54PM EDT
  • Course Catalog - June 7, 2023 7:14PM EDT

MATH 6270
Applied Dynamical Systems

Course information provided by the Courses of Study 2022-2023.

Topics include review of planar (single-degree-of-freedom) systems; local and global analysis; structural stability and bifurcations in planar systems; center manifolds and normal forms; the averaging theorem and perturbation methods; Melnikov's method; discrete dynamical systems, maps and difference equations, homoclinic and heteroclinic motions, the Smale Horseshoe and other complex invariant sets; global bifurcations, strange attractors, and chaos in free and forced oscillator equations; and applications to problems in solid and fluid mechanics.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: MAE 6750, MATH 6260, or equivalent.

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Syllabi: none

  •   Regular Academic Session.  Combined with: MAE 7760

  • 4 Credits Stdnt Opt

  • 16930 MATH 6270   LEC 001

  •  
    • TR Malott Hall 224
    • Jan 23 - May 9, 2023

    • Strogatz, S

  • Instruction Mode: In Person