Sensitivity to Initial Conditions

📄 46 — Sensitivity to Initial Conditions

Definition

Small differences at the start of a process can lead to dramatically different outcomes.

When to Use

• Planning • Forecasting • Simulations • Risk analysis

How It Improves Reasoning

It highlights the importance of accurate initial data and careful setup.

Steps

1. Identify initial variables.
2. Test small variations.
3. Observe divergence.
4. Adjust planning horizons.

Example

A slight misalignment in a rocket’s trajectory can lead to missing the target by thousands of kilometers.

Prompts

• “Analyze sensitivity to initial conditions.” • “How do small changes affect long‑term outcomes?”