1. 1 Romeo and Juliet Time delaysStochastic excitation Oscillations Nullcline angles

2. 2 JJ = Love that Juliet professes for Romeo R = Love that Romeo professes for Juliet Both Both profess love Both Both profess hate Romeo Juliet Romeo professes love, but Juliet professes hate Juliet Juliet professes love, Romeo but Romeo professes hate Romeo and Juliet’s affections form a state space R

3. 3 R JJuliet professes more and more love when Romeo expresses love Juliet’s dynamics

4. 4 JRomeo professes less and less love when Juliet professes love R Romeo’s dynamics

5. 5 JRomeo and Juliet chase each other around in a perpetual soap opera Trajectory of Romeo and Juliet’s dynamics form a closed loop R

6. 6 J Romeo and Juliet’s dynamics are sinusoidal R

7. 7 Romeo and Juliet Time delaysStochastic excitation Oscillations Nullcline angles

8. 8 R J Derivatives can change sign at nullclines

9. 9 J R

10. 10 J Crossed nullclines can support stable stars R

11. J R 11 Crossed nullclines can support stable spirals

12. 12 J Crossed nullclines can support closed cycles R

13. 13 J Crossed nullclines can support unstable spirals R

14. 14 Romeo and Juliet Time delaysStochastic excitation Oscillations Nullcline angles

15. 15 Time delay J R

16. 16 Time delay J Current state Previous state R

17. 17 Romeo and Juliet Time delaysStochastic excitation Oscillations Nullcline angles

18. 18 Stochastic excitation J R

19. 19 J Stochastic excitation R

20. 20 J Stochastic excitation R