Patterns, Chaos & Turbulence — Lesson 3

This lesson covers the concept of turbulence and how it arises in different systems. It explains the process of instability and non-linear saturation, and how these factors contribute to the formation of turbulence. The lesson also discusses the concept of bifurcation, which refers to a change in behavior or pattern. It further explores the concept of secondary bifurcation and how it leads to more complex behavior. The lesson also delves into the physics of turbulence, including the Kolmogorov theory. It uses the example of Rayleigh-Benard convection to illustrate these concepts.

Video Highlights

00:56 - Discussion on the patterns and chaos in turbulence.
03:59 - Discussion on the seven-mode model in turbulence.
24:02 - Explanation of the concept of quasi-periodic turbulence.
41:44 - Discussion on the route to turbulence for large and small Prandtl numbers.

Key Takeaways

- Turbulence arises due to instability and non-linear saturation in a system.
- Bifurcation refers to a change in behavior or pattern in a system.
- Secondary bifurcation can lead to more complex behavior.
- The physics of turbulence includes concepts like the Kolmogorov theory.
- Rayleigh-Benard convection is a useful example to understand these concepts.