Timeline for 3d system: stream plot and function
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 31, 2020 at 12:28 | history | edited | Alex Trounev | CC BY-SA 4.0 |
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| Mar 30, 2020 at 15:29 | history | edited | Alex Trounev | CC BY-SA 4.0 |
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| Mar 30, 2020 at 15:17 | comment | added | Alex Trounev | In a numerical solution, we cannot get too close to this point. Therefore, there is an instability that is visible with good resolution - see update. | |
| Mar 30, 2020 at 9:06 | comment | added | Scuderi | I agree that in $3d$ the point $(a,2a,3a)$ is a saddle and thus unstable. But isn't this one dimension too much? Because we are only living on the sphere. In some sense the point must be stable as the plot suggests. | |
| Mar 29, 2020 at 21:49 | comment | added | Alex Trounev | @Scuderi See update to my answer. | |
| Mar 29, 2020 at 21:48 | history | edited | Alex Trounev | CC BY-SA 4.0 |
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| Mar 29, 2020 at 21:07 | comment | added | Scuderi | Wow! The plot suggests that (a,2a,3a) is globally stable on M, doesn‘t it? So there Must be some Lyapunov-function on M. Is there a way to plot functions V(x,y,z) in this plot or another to see if they are possible candidates? | |
| Mar 29, 2020 at 18:33 | history | answered | Alex Trounev | CC BY-SA 4.0 |