a). Verify that (0, 0), (%u03C0,0), and (2%u03C0, 0) are all critical points of

Question

a). Verify that (0, 0), (%u03C0,0), and (2%u03C0, 0) are all critical points of the first order system (indeed, all (n%u03C0,0) will be critical points).

b).Linearize the nonlinear system about the critical point (0, 0) and determine stability.
This means to actually write down the linearized system about (0, 0) (so you will need to find partial derivatives and evaluate at x = 0 and y = 0), and then use the eigenvalues of the coefficient matrix to determine stability.

c). Linearize the nonlinear system about the critical point (%u03C0, 0) and determine stability. This means to actually write down the linearized system about (%u03C0, 0) (so you will need to find partial derivatives and evaluate at x = %u03C0 and y = 0), and then use the eigenvalues of the coefficient matrix to determine stability.

d). Linearize the nonlinear system about the critical point (2%u03C0, 0) and determine stability. This means to actually write down the linearized system about (2%u03C0, 0) (so you will need to find partial derivatives and evaluate at x = 2%u03C0 and y = 0), and then use the
eigenvalues of the coefficient matrix to determine stability.

Explanation / Answer

please give the values of points clearly ...

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.