7.14. Write a simple XPP file to explore the three bifurcations in Exercise 7.13 by graph- ing the phase plane diagram f
Posted: Wed May 11, 2022 11:01 pm
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. = - =-
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. = - =-