Timeline for How to detect loops in a vector field?
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| Apr 13, 2017 at 12:55 | history | edited | CommunityBot |
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| Sep 3, 2015 at 15:28 | vote | accept | M.R. | ||
| Aug 30, 2015 at 2:22 | history | tweeted | twitter.com/#!/StackMma/status/637812516794535936 | ||
| Aug 27, 2015 at 15:32 | comment | added | Jens | @nikie I was just trying to get as much info as possible before going in the wrong direction. I see you've already answered based on an assumption such as what I was asking for... There could be different assumptions - it could bee the curl of a vector, or you could be thinking of limit cycles in a nonlinear system, etc. | |
| Aug 27, 2015 at 15:12 | comment | added | Niki Estner | @Jens: Sure, "contains loops" would have to be interpreted as e.g. "if you follow the vector field, you come back to your point of origin again, up to some numerical error epsilon". But isn't that true of practically any boolean property when you're doing numerical calculations? | |
| Aug 27, 2015 at 6:27 | answer | added | Niki Estner | timeline score: 20 | |
| Aug 27, 2015 at 5:09 | answer | added | Dr. belisarius | timeline score: 10 | |
| Aug 27, 2015 at 5:04 | comment | added | Jens | But the example you're using is not a physical system, and is in fact just not even a vector field because it is a discrete set of data points. So We first have to construct an interpolation. Are there any physical properties of the vector field that have to be satisfied in the interpolation? Whether lines will be closed for a given starting point will in general depend sensitively on the interpolation. | |
| Aug 27, 2015 at 4:36 | comment | added | M.R. | The application here is that detection of loops in the phase space means something about the state of the physical system. | |
| Aug 27, 2015 at 4:34 | history | edited | M.R. | CC BY-SA 3.0 |
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| Aug 27, 2015 at 4:10 | comment | added | Jens | Do you have any particular application for this? Usually, whether flow lines are closed or not isn't really of practical importance, but one can sometimes make up special interpretations for them, see here. | |
| Aug 27, 2015 at 2:05 | history | edited | M.R. | CC BY-SA 3.0 |
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| Aug 27, 2015 at 1:55 | history | edited | M.R. | CC BY-SA 3.0 |
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| Aug 27, 2015 at 1:50 | history | asked | M.R. | CC BY-SA 3.0 |