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Feb 05, 2025
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EE 6233 - Nonlinear System Analysis I
Introduction to nonlinear dynamical systems analysis: nonlinear dynamical system models, second-order nonlinear behaviors by phase plane analysis, including multiple equilibria, qualitative behaviors near equilbrium points, limit cycles and bifurcation; demonstration of chaotic behaviors by simulation; existence, uniqueness and sensitivity of solutions; Lyapunov stability and its assessment; input-output stability.
Requisites:
Credit Hours: 3
Repeat/Retake Information: May not be retaken.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Learning Outcomes:
- A grasp of basic analytical techniques for nonlinear dynamical system, e.g. phase plane techniques, linearization, describing functions, Lyapunov first and second methods.
- An ability to develop and verify computer simulations and numerical solutions for nonlinear dynamic systems and processes.
- An understanding of typical nonlinear dynamical system behaviors, e.g. existence and uniqueness of solutions, stability of equilibrium states and limit cycles, simple bifurcation and chaos, frequency responses, input-output stability.
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