Romeo the Robot
R=Romeo
J= Juliet
(How does Juliet react?)
Take a = b = 0 (dR/dt = 0)
dJ/dt = cR + dJ
There is an equilibrium at J = -cR/d
Can be either love or hate depending on signs of R, c, and d
Stable if d < 0, unstable if d > 0
Her feelings never die
No oscillations are possible
Love Triangle Equations
dRJ/dt = aRJ + b(J - G)
dJ/dt = cRJ + dJ
dRG/dt = aRG + b(G - J)
dG/dt = eRG + fG
System is 4D (4 variables)
There are 6 parameters
System is linear (no chaos)
Take a = b = 0 (dR/dt = 0)
dJ/dt = cR + dJ
There is an equilibrium at J = -cR/d
Can be either love or hate depending on signs of R, c, and d
Stable if d < 0, unstable if d > 0
Her feelings never die
No oscillations are possible
Love Triangle Equations
dRJ/dt = aRJ + b(J - G)
dJ/dt = cRJ + dJ
dRG/dt = aRG + b(G - J)
dG/dt = eRG + fG
System is 4D (4 variables)
There are 6 parameters
System is linear (no chaos)
Any one ?:D
After all this, Juliet should run away with Alexender the great.