Questions 3: (25 points) Consider the 2-D map f(x) = ) = ( 24 2 17.22),...

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Questions 3: (25 points) Consider the 2-D map f(x) = ) = ( 24 2² ²17.2²2), ↓ (a) Show that has a saddle fixed point at p = (0,0). (b) Show that the stable and unstable manifolds at p= (0,0) are given by U(p) = {(0,y) y ER} and (c) State all homoclinic points, or give reason why none exist. S(p) = {(x, 4x²): *ER}. Questions 3: (25 points) Consider the 2-D map f(x) = ) = ( 24 2² ²17.2²2), ↓ (a) Show that has a saddle fixed point at p = (0,0). (b) Show that the stable and unstable manifolds at p= (0,0) are given by U(p) = {(0,y) y ER} and (c) State all homoclinic points, or give reason why none exist. S(p) = {(x, 4x²): *ER}.

Answer rating: 100% (QA)

a To show that this map has a saddle fixed point at p 00 ... View the full answer