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Given is a piecewise linear vector field with = Ро () (9). = V₂-() and V2= P1 = ·(). P2 = = (12) · a) Find the critical point: • In barycentric coordinates: First, solve with a linear system Ax = y, where x = (e) Hint: any point p in the plane through a, b, c can be expressed as pa u+b v+c w, u+v+w=1

Given is a piecewise linear vector field with = Ро () (9). = V₂-() and V2= P1 = ·(). P2 = = (12) · a) Find the critical point: • In barycentric coordinates: First, solve with a linear system Ax = y, where x = (e) Hint: any point p in the plane through a, b, c can be expressed as pa u+b v+c w, u+v+w=1

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A = ?

y = ? 

The critical point in barycentric coordinates xb and xc 

Given is a piecewise linear vector field with = Ро () (9). = V₂-() and V2= P1 = ·(). P2 = = (12) · a) Find the critical point: • In barycentric coordinates: First, solve with a linear system Ax = y, where x = (e) Hint: any point p in the plane through a, b, c can be expressed as pa u+b v+c w, u+v+w=1
Transcribed Image Text:Given is a piecewise linear vector field with = Ро () (9). = V₂-() and V2= P1 = ·(). P2 = = (12) · a) Find the critical point: • In barycentric coordinates: First, solve with a linear system Ax = y, where x = (e) Hint: any point p in the plane through a, b, c can be expressed as pa u+b v+c w, u+v+w=1
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