Week Three: Bifurcations

Welcome! This week focuses on how dynamical systems change as we change a parameter.

1 In Class

1.1 Systems to Explore

\(\begin{align*} \dot{x} &= r + x^2 \\ \dot{x} &= r - x^2 \\ \dot{x} &= rx - x^2 \\ \dot{x} &= rx - x^3 \\ \dot{x} &= -x + \beta \tanh(x) \\ \dot{x} &= rx + x^3 \\ \dot{x} &= rx + x^3 - x^5 \end{align*}\)

Photos of work on HW 2 problems and some of these problems are in this Google Drive.

2 Homework 3 – Due Friday, Feb. 13 by the start of class

📖 Reading Option 1: How Climate Scientists Saw the Future

🎧Listening/Reading Option 2: Modeling Paleoclimates

Note on the listening option: transcript available!

Homework Problems and Reading Questions

Submission

Submit your work to the HW 3 assignment on Blackboard!