Question: 3. Consider the nonlinear system dx it = I(-1+2y). dy it = y(1 - y) - 2r. (a)Find all possible equilibrium points; write out the

3. Consider the nonlinear system dx it = I(-1+2y). dy it = y(1 - y) - 2r. (a)Find all possible equilibrium points; write out the linearized system for equilibrium (0, 0), solve it and draw the phase portrait. (b) Verify this system is Hamiltonian and find a conserved quantity for this system

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