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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1995 • Question 5

Question

Math 6410 • ODE Fall 1995 • Question 5

Write a short essay discussing the basic concepts of autonomous dynamical systems. Describe flows, trajectories, equilibrium points, stability, asymptotic stability and local linearizations, etc.

Raw LaTeX

Write a short essay discussing the basic concepts of autonomous
dynamical systems. Describe flows, trajectories, equilibrium points, stability,
asymptotic stability and local linearizations, etc.

Topic Tags

Asymptotic and Exponential Stability Lyapunov Stability and Lyapunov Functions Phase Plane Analysis Stability of Linear Systems