Parameters:
| $N$ | $L$ | $M$ |
|---|---|---|
| $180$ | $2\pi$ | $0$ |
23.03.2022 (loss of convexity for $c_0 \neq 0$)
| $\mu$ | $c_0$ | $\beta$ | result | comment |
|---|---|---|---|---|
| $10^{-1}$ | $10^{-1}$ | $e^{-\rho}$ | movie | |
| $10$ | $10^{-1}$ | $e^{-\rho}$ | movie | |
| $10^{-1}$ | $1 = 2\pi / L$ | $e^{-\rho}$ | movie | |
| $10^{-1}$ | $4$ | $e^{-\rho}$ | movie | |
| $10$ | $4$ | $e^{-\rho}$ | movie |
08.02.2022 (focus on convexity)
Results:
| $\mu$ | $c_0$ | $\beta$ | result | comment |
|---|---|---|---|---|
| $10^{-2}$ | $0$ | $e^{-\rho}$ | movie | cigar via “circle” |
| $10^{-1}$ | $0$ | $e^{-\rho}$ | movie | cigar via “triangle” |
| $10^{-1}$ | $2.5$ | $e^{-\rho}$ | movie | non embedded curve (neg. curv.) at equilibrium |
| $10^{-1}$ | $2.5$ | $e^{-0.7\rho}$ | movie | embedded curve (neg. curv.) at equilibrium |
| $10^{-1}$ | $1.9$ | $e^{-\rho}$ | movie | $\dot{E}{\rho}$ and $\dot{E}{\theta}$ do not have a sign |
| $10^{-1}$ | $2$ | $e^{-\rho}$ | movie | “cigar”-like (neg. curve) at equilibrium |
| $10^{-1}$ | $3$ | $e^{-\rho}$ | movie | non embedded curve (neg. curv.) at equilibrium |
| $10^{-1}$ | $5$ | $e^{-\rho}$ | movie | timestep too large? |
| $10^{-1}$ | $10$ | $e^{-\rho}$ | movie | clipped |
31.01.2022
Results:
| $\mu$ | $c_0$ | $\beta$ | $t_{max}$, iter$_{max}$ | result | comment |
|---|---|---|---|---|---|
| $10^{-2}$ | $0$ | const. | movie | ||
| $10^{-2}$ | $10$ | const. | movie | ||
| $10^{-2}$ | $0$ | SDW1 | movie | ||
| $10^{-2}$ | $0.1$ | SDW | movie | ||
| $10^{-2}$ | $1$ | SDW | movie | ||
| $10^{-2}$ | $0$ | ADW2 | movie |
