Dynamical Systems (MATH 578)

2022 Fall
Faculty of Engineering and Natural Sciences
Mathematics(MATH)
3
10.00
Nilay Duruk Mutluba┼č -nilaydm@sabanciuniv.edu,
Doctoral, Master
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CONTENT

Qualitative theory of ordinary differential equations (ODEs). Existence and uniqueness, geometrical representation of ODEs. Construction of phase portraits. Nonlinear systems, local and global behavior, the linearization theorem. Periodic orbits and limit sets, Poincare-Bendixson theory. The stable manifold theorem, homoclinic and heteroclinic points. Bifurcation diagrams. State reconstruction from data, embedding.