System Phase Portrait

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Izu 2011-2-17

回答： Pratik Bajaria 2014-8-12

Hello, how can I draw the Phase portrait of the following system:

x' = x^3 + y - 3
y' = x + 5y + y^3 - 4

Is there some "catch" or it goes straightforward to something like:

function res = func2(t, y)
  res = [y(1).^3 + y(2) -3; 
      y(1)+ 5*y(2)+ y(2).^3 -4];

Should I use y*y*y or y.^3?

Edit: How can I find the equilibrium points of the system?

Pratik Bajaria 2014-8-12

Use ode45 function to plot the phase portraits. Check this out: http://www.mathworks.in/help/matlab/ref/ode45.html

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