MATH 8275 - Dynamical Systems I

Credit Hours: (3)

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.

Prerequisite(s): MATH 5143 and MATH 5173, or permission of department.