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  1. r= 3.2
  2.  s= 0.03
  3.  f= 0.8
  4. %% Find stationary states
  5. syms xi
  6. eqn = -(r^2 * (xi-1)*((xi/2)-1)+1+(s/(1-xi)))*xi + f ;
  7. %eqn2= -(r^2 * (xi-1)*((xi/2)-1)*(1-xi)+(1-xi)+(s))*xi+(f*(1-xi));
  8.  
  9. f1 = matlabFunction(expand(eqn))
  10.  
  11. root1=fzero(f1,[-4, 0.999999999])
  12. root2=fzero(f1,[1.0000001, 4])
  13.  
  14.  
  15. %% Solve ODE
  16. omega = 0.01;
  17. T = pi/omega;
  18.  
  19. t_start = 0;
  20. t_end = T;
  21. time_span = t_start:0.01:t_end;
  22.  
  23. xi0 = [0 0];
  24.  
  25. [t,xi] = ode45(@odefun, time_span,xi0);
  26. plot(t,xi);
  27. hold on
  28. plot (t, 3*sin(omega*t));
  29. ylim([0,3.5])
  30. legend('Displacement','Force','location','NorthEast')
  31. title('Displacement vs Time')
  32. xlabel('Time, tau [sec]')
  33. ylabel('Displacement, \xi')
  34. yyaxis right
  35. ylabel ('Force F/F0')
  36. ylim([0,3.5])
  37. function xidot = odefun(t,xi)
  38. xidot = -((3.2^2).*(xi-1).*(0.5*xi-1).*xi+xi+(xi.*0.03)./(1-xi))+3*sin(0.01*t);
  39. end
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