The dynamics of bubble, drop, and foam formation can present chaotic behavior. Under certain conditions, these systems present routes to chaos such as period doubling, period adding, or intermittence. In addition to these aspects, some interesting emergent types of fragile objects can be observed, such as antibubbles.

1. Chaos in Bubbles, Drops, and
Foams
Alberto Tufaile
Adriana Pedrosa Biscaia Tufaile
Soft Matter Lab – EACH
University of São Paulo
Brazil

2. Period 1, 2, 4, 2, & Chaos
Experiment
with bubbles

3. Bubbles are important because...

4. Period Adding Dynamics

5. Sound waves and bubble
formation

6. Viscosity and bifurcation
Low viscosityHigh viscosity

7. Route to chaos type III
Intermitency

8. Dripping Faucet

9. Dripping Faucet

10. Dripping Faucet

11. Dripping Faucet Model

12. Sound waves and bubble
formation

13. Sound waves and bubble
formation

14. Sound waves and bubble
formation

15. Sound waves and bubble
formation

16. Sound waves and bubble
formation

17. Sound waves and bubble
formation

18. Sound waves and bubble
formation

19. Foam as a dynamical system
• Foam is
energy
transformed
in surface!

20. Foam as a dynamical system

21. Foam as a dynamical system

22. Foam as a dynamical system
“Butterfly Effect”

23. Foam as a dynamical system

25. Antibubble

26. Champagne Bubbles

27. Conclusions

28. Conclusions

29. References

30. References