MATH 6270

MATH 6270

Course information provided by the Courses of Study 2017-2018.

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 (formerly MATH 6170) or equivalent.

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Syllabi: none
  •   Regular Academic Session.  Combined with: MAE 7760

  • 4 Credits Stdnt Opt

  • 16043 MATH 6270   LEC 001