Consider the system = x-x 1. Find all the equilibrium points and classify them. 2. Find...

 

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Consider the system = x-x 1. Find all the equilibrium points and classify them. 2. Find a conserved quantity. 3. Draw the contours of the conserved function. (You can use contourf function in Matlab or the equivalent in Python for this.) Draw the phase portrait of the system (using pplane or such). What do you observe and justify your observation. X, 4. Suppose we add a smallamount of damping. The new systemis = y, y =?by + x where 0 Consider the system = x-x 1. Find all the equilibrium points and classify them. 2. Find a conserved quantity. 3. Draw the contours of the conserved function. (You can use contourf function in Matlab or the equivalent in Python for this.) Draw the phase portrait of the system (using pplane or such). What do you observe and justify your observation. X, 4. Suppose we add a smallamount of damping. The new systemis = y, y =?by + x where 0

Answer rating: 100% (QA)

1 Equilibrium points are obtained by setting dxdt 0 This gives x0 and x1 x0 is a stab... View the full answer