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MATH643

Dynamical Systems II

Entropy theory, variational principle for the entropy, expansiveness, measures with maximal entropy. Smooth systems on manifolds, diffeomorphisms and flows, periodic points, stable and unstable manifolds, homoclinic points, transversality, the Krupka-Smale theorem, Morse-Smale systems. Hyperbolicity, Anosov systems, distributions and foliations, strange attractors, Bowen's measure.

Past Semesters

2 reviews
Average rating: 4.50

8 reviews
Average rating: 2.75

9 reviews
Average rating: 1.78

Average GPA: 4.00 between 8 students

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