Music by Nino Rota Romeo and Juliet romeo anD juliet (loVe ...
Romeo and Juliet
20
1 Romeo and Juliet Time delays Stochastic excitation Oscillations Nullcline angles
-
Upload
alexa-carlson -
Category
Documents
-
view
21 -
download
0
description
Oscillations. Romeo and Juliet. Nullcline angles. Time delays. Stochastic excitation. Romeo and Juliet’s affections form a state space. J = Love that Juliet professes for Romeo R = Love that Romeo professes for Juliet. J. Juliet professes love, but Romeo professes hate. - PowerPoint PPT Presentation
Transcript of Romeo and Juliet
2
JJ = Love that Juliet professes for RomeoR = Love that Romeo professes for Juliet
Both profess love
Both profess hate Romeo professes love, but Juliet professes hate
Juliet professes love, but Romeo professes hate
Romeo and Juliet’s affections form a state space
R
4
J
𝑑 𝐽𝑑𝑡
=𝑅
𝑑𝑅𝑑𝑡
=− 𝐽
Romeo professes less and less love when Juliet professes love
R
Romeo’s dynamics
5
J
𝑑 𝐽𝑑𝑡
=𝑅
𝑑𝑅𝑑𝑡
=− 𝐽
Romeo and Juliet chase each other around in a perpetual soap opera
Trajectory of Romeo and Juliet’s dynamics form a closed loop
R
6
J
𝑑 𝐽𝑑𝑡
=𝑅
𝑑𝑅𝑑𝑡
=− 𝐽
𝑑2𝑅𝑑𝑡2
=− 𝑑 𝐽𝑑𝑡
𝑑2𝑅𝑑𝑡2
=−𝑅
𝑅=𝐴0 cos (𝑡 )
𝐽=𝐴0 sin (𝑡 )
Romeo and Juliet’s dynamics are sinusoidal
R