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MATH 7275 - Dynamical Systems I
Cycles and separatrix cycles, Poincaré first-return map: diffeomorphisms, Poincaré-Bendixson Theory, flows on the two-torus; structural stability, genericity, Peixoto’s theorem; singularities of planar systems. Degenerate singularities, Hopf bifurcation, saddle-node bifurcation, center bifurcation.
Credit Hours: (3)
Prerequisite(s): MATH 5143 and MATH 5173 , or permission of department.
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