CDS 232

Nonlinear Dynamics

9 units (3-0-6)    |  second term
Prerequisites: CMS/ACM/IDS 107 and CDS 231.

This course studies nonlinear dynamical systems beginning from first principles. Topics include: existence and uniqueness properties of solutions to nonlinear ODEs, stability of nonlinear systems from the perspective of Lyapunov, and behavior unique to nonlinear systems; for example: stability of periodic orbits, Poincaré maps and stability/invariance of sets. The dynamics of robotic systems will be used as a motivating example.

Instructor: Ames

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