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MATH 578 Dynamical Systems 3 Credits
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.
Last Offered Terms Course Name SU Credit
Fall 2022-2023 Dynamical Systems 3
Fall 2013-2014 Dynamical Systems 3
Spring 2010-2011 Dynamical Systems 3
Prerequisite: __
Corequisite: __
ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year)
General Requirements: