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PLEASE PROVIDE RUNNING MATLAB CODE AND PLOTS ALONG WITH COMMENTS, THANK YOU! 3. Consider the ODE dx dt = mx en (i) If a bifurcation

PLEASE PROVIDE RUNNING MATLAB CODE AND PLOTS ALONG WITH COMMENTS, THANK YOU!image text in transcribed

3. Consider the ODE dx dt = mx en (i) If a bifurcation were to occur, at what value of u and x could the bifurcation occur at? (ii) Use MATLAB to determine what sort of bifurcation occurs at the (u, x) you found in (i). Hint: Plot fu(x) = mx eix for values of u in the vicinity of the bifurcation point. 3. Consider the ODE dx dt = mx en (i) If a bifurcation were to occur, at what value of u and x could the bifurcation occur at? (ii) Use MATLAB to determine what sort of bifurcation occurs at the (u, x) you found in (i). Hint: Plot fu(x) = mx eix for values of u in the vicinity of the bifurcation point

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