Exploring a Parameter Space
In Lab 3.1, we studied a specific two-parameter family of linear systems. In this lab, we investigate the three-parameter family
The goal is to produce a “picture” of abc-space, indicating the regions where this system has various types of behavior (spiral sinks, repeated eigenvalues, saddles, etc.). Making a representation of three-dimensional space is difficult, so be creative. In your report, you should address the following items:
Your report: Address the items above, paying particular attention to the quality of your representations of the bc-plane and abc-space.
“Draw” a three-dimensional picture, with a as the vertical axis and the bc-plane perpendicular to the vertical axis. Highlight the special cases where your system changes type. Be creative.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.