The jacobian matrix for the plane autonomous system of the sliding bead is g ′ ( X 1 ) = ( 0 1 − g f ″ ( x 1 ) − β m ) such that X 1 = ( x 1 , y 1 ) is the critical point.

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Chapter 11.4, Problem 3E

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To show: The jacobian matrix for the plane autonomous system of the sliding bead is g′(X1)=(01−gf″(x1)−βm) such that X1=(x1,y1) is the critical point.

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