Timeline for Basins of attraction using Newton-Raphson method for nonlinear system
Current License: CC BY-SA 4.0
15 events
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Mar 17 at 8:36 | comment | added | Ulrich Neumann | @AlexTrounev Images are much better but still different. Probably because finally we use the screen raster | |
Mar 17 at 8:34 | history | edited | Ulrich Neumann | CC BY-SA 4.0 |
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Mar 16 at 23:45 | comment | added | Alex Trounev |
@UlrichNeumann Use PointSize[.001] to exclude overlapping.
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Mar 16 at 16:24 | comment | added | Ulrich Neumann | @AlexTrounev For numerical reasons pixel may overide each other. Have a look at my second addendum. | |
Mar 16 at 16:23 | history | edited | Ulrich Neumann | CC BY-SA 4.0 |
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Mar 16 at 16:11 | comment | added | Alex Trounev | @UlrichNeumann Normally we plot trajectory of dynamic system to visualize basins of attraction, and not first and last points only. Because every points on trajectory belongs to basin of attraction. In this case we use Newton's iterations as trajectory points. | |
Mar 16 at 15:42 | comment | added | Ulrich Neumann | @AlexTrounev I think my first plot is unique because only one gridpoint ist plotted | |
Mar 16 at 15:40 | comment | added | Alex Trounev |
@UlrichNeumann Your first plot could be unique if you make color transparent using RGBColor as in my last plot.
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Mar 16 at 15:22 | history | edited | Ulrich Neumann | CC BY-SA 4.0 |
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Mar 16 at 14:57 | comment | added | Ulrich Neumann |
@AlexTrounev Sorry to late, you colorized your line plot meanwhile. Modern art! Just one remark: The appearanceof the colored point plot isn't unique, it depends on the order of fp1,fp2,fp3 in the Graphics command! Only my first plot is unique because it only plots the starting point in the fixpoint color.
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Mar 16 at 12:10 | comment | added | Alex Trounev | Your last picture looks very nice (+1). Could you colorize line solution as well? | |
Mar 16 at 11:09 | comment | added | onk | Thank you very much | |
Mar 16 at 9:13 | history | edited | Ulrich Neumann | CC BY-SA 4.0 |
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Mar 15 at 16:53 | history | edited | Ulrich Neumann | CC BY-SA 4.0 |
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Mar 15 at 11:40 | history | answered | Ulrich Neumann | CC BY-SA 4.0 |