Targeting the gradient flow

In this post, we will first summarize what we discussed in part 1 and part 2 , then add a few extra thoughts. Summary of the two posts Part 1: we picked a function f : &#x0211D; &#x02192; &#x0211D; and built a simple vector field such that for any trajectory &#x00028; x &#x0002C; y &#x00029; : &#x0211D; &#x0003E; 0 &#x02192; &#x0211D; 2 , the trajectory is attracted to the graph of f , in the…