7 14 Write A Simple Xpp File To Explore The Three Bifurcations In Exercise 7 13 By Graph Ing The Phase Plane Diagram F 1 (14.08 KiB) Viewed 13 times
7 14 Write A Simple Xpp File To Explore The Three Bifurcations In Exercise 7 13 By Graph Ing The Phase Plane Diagram F 2 (24.89 KiB) Viewed 13 times
7.14. Write a simple XPP file to explore the three bifurcations in Exercise 7.13 by graph- ing the phase plane diagram for r < 0,r = 0,r > 0. Then use the Auto feature of XPP to plot a bifurcation diagram in each case.
what happens as the parameter r is varied. Determine the eigenvalues of the system and show that at the bifurcation, one of the eigenvalues becomes zero. (a) The fold bifurcation: d=r – x2,4 =-y. (b) The transcritical bifurcation: =rx - x2, d =-y. (a) The pitchfork bifurcation: dx =rx-x3, =-y. = - =-
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