Curves with modulated stiffness
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 |
|
| $10^{-2}$ |
$0$ |
SDW |
|
movie |
|
| $10^{-2}$ |
$0.1$ |
SDW |
|
movie |
|
| $10^{-2}$ |
$1$ |
SDW |
|
movie |
|
| $10^{-2}$ |
$0$ |
ADW |
|
movie |
|
