Remember the Sabbath Day and Keep it Holy (4/30/23)

[eigenscribe]

Ideas

• Random walk
  • ❓ How to choose transition probabilities?
  • 💡 Compare steady states of each initial state for a given transition matrix (should all be equal 🤔)
  • 💡 Compare steady states of different transition matrices for a given initial state
• Kuramoto model
  • ❓ How to choose natural frequencies?
  • ❓ How to choose initial conditions?
    • 1️⃣ Set $\theta_i(0)=0$ and $\dot{\theta}_i(0)=\omega_i$
    • 2️⃣ Set $\theta_i(0) \sim \text{Unif}\big([0,2\pi]\big)$ and $\dot{\theta}_i(0)=\omega_i$