11. Phase Plane Analysis

Stability — Quiz

Test your understanding of stability with 5 practice questions.

Practice Questions

Question 1

Which statement best describes a stable equilibrium point in a phase plane?

Question 2

If every solution starting near an equilibrium approaches that equilibrium as $t\to\infty$, what is the equilibrium called?

Question 3

For a linearized system, what does it usually mean if all eigenvalues of the Jacobian at an equilibrium have negative real parts?

Question 4

What does it mean if a small perturbation pushes trajectories away from an equilibrium?

Question 5

In phase plane language, a sink is best described as what type of equilibrium?