how do you find the vectors Ex Look at the fixed point (1,11 of {&=x-xyXlýJacobian:J(x, y) = (-y _x)J (₁, 1) = (₁ - 1)V₂V₁Eigenvalues: 1₁ = √2vectors: v₁ = (-1-1₂)-near fixed pointlooks like a linearized systenx₂ = = √₂ => suddleslinearizationworks√₂V₂

Answered: Image /qna-images/answer/20dc268c-1e34-4bde-b4fe-9332d022bc3c.jpg

Answered: Ex Look at the fixed point (1,11 of [x…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 1YT

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Ex Look at the fixed point (1,11 of [x = x-y lý -1-xy Jacobian: J(x, y) = (y _x) J(₁, 1) = (1 - 1) V₂ Eigenvalues: 1₁ = √₂ vectors: v₁ =(-1-1₂) -near fixed point looks like a linearized systen. +₂ = -√2 ✓₁₂ =(√²-1) => suddles linearization works