State spaces and change vectors in 2D
Assumes
- Already have seen a 1D state space and change vectors
- Already have seen the Shark Tuna model worked out and the equations known
Summary
- make the 2D "Shark Tuna space"
- how does the S/T model give rise to 2D “change vectors” in 2D state space?
- the problem of “.02 sharks”. what can this mean? Analogy to chemistry and need for large numbers.
- “change equations” are actually called “differential equations”. But actually, don’t really think of them as “equations” at all; they are really functions from state space to “changes space” (called Tangent Space.) As functions from state space to tangent space, they are called vector fields.
