Unformatted text preview: μ < 0 and a single unstable real solution for μ > 0. ˙ x = f ( x, μ ) = μx + x 3 (4) 4. Another type of bifurcation displays a saddle-node behavior. That is with diﬀerent choices of μ , there will be either no equilibriums or one stable and one unstable equilibriums. This type of bifurcation will be discussed next week in class. Show that the following two-variable system ˙ x 1 = f 1 ( x, μ ) = μ-x 2 1 (5) ˙ x 2 = f 2 ( x, μ ) =-x 2 (6) exhibits saddle-node behavior in the phase plane. 1...
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- Thermodynamics, Business process modeling, real solutions, Bifurcation theory, SCHOOL OF CHEMICAL ENGINEERING, unstable real solution