File:SineMapOrbitDiag2.png
From Wikiversity
Jump to navigation
Jump to search
Size of this preview: 800 × 450 pixels. Other resolutions: 320 × 180 pixels | 640 × 360 pixels | 1,024 × 576 pixels | 1,280 × 720 pixels | 2,560 × 1,440 pixels | 9,600 × 5,400 pixels.
Original file (9,600 × 5,400 pixels, file size: 1.64 MB, MIME type: image/png)
This is a file from the Wikimedia Commons. The description on its description page there is shown below.
Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionSineMapOrbitDiag2.png |
English: Produced by the following Python code adapted from Wikipedia article on Logistic map:
import numpy as np import math import matplotlib.pyplot as plt preset = 1 markerSize = 0.001 saveFigure = True markerStyle = "," # . - point; , - pixel if preset == 1: # Diagram with positive c values in [0, 1] presetNote = "Initialize to 0\n; limit c to [0, 1] despite interesting patterns existing outside of it" presetNote = "" cInterval = (0, 1) cResolution = 0.0001 mapIterationCount = 1000 lastMapIterationCountToPlot = 1000 startingIterationValue = 0.5 fileName = "SineMapOrbitDiag2.png" yLim = (0, 1) if preset == 2: # Diagram with positive and negative c values presetNote = "Initialize to 0\n" cInterval = (-4, 4) cResolution = 0.001 mapIterationCount = 500 lastMapIterationCountToPlot = 500 startingIterationValue = 0.5 fileName = "SineMapOrbitDiag2_BroadCRange.png" yLim = (-1.1, 1.1) if preset == 3: # Diagram with positive and negative c values, skipping early iterations presetNote = "Initialize to 0\n" cInterval = (-4, 4) cResolution = 0.001 mapIterationCount = 5000 lastMapIterationCountToPlot = 500 startingIterationValue = 0.5 fileName = "SineMapOrbitDiag2_BroadCRange_SkipEarlyIter.png" yLim = (-1.1, 1.1) lims = np.zeros(mapIterationCount) fig, biax = plt.subplots() fig.set_size_inches(16, 9) itemCount = 0 for c in np.arange(cInterval[0], cInterval[1], cResolution): itemCount += 1 lims[0] = startingIterationValue for i in xrange(mapIterationCount - 1): lims[i + 1] = math.sin(c * math.pi * lims[i]) if itemCount % 1000 == 0: print("Parameter values processed:", itemCount) biax.plot([c] * lastMapIterationCountToPlot, lims[(mapIterationCount - lastMapIterationCountToPlot):], "b.", markersize=markerSize, marker=markerStyle) biax.set(xlabel="c", ylabel="x", title="Sine map - sin(c * pi * x) - bifurcation diagram/orbit diagram" + "\n" + presetNote + "c resolution: " + str(cResolution) + ", iteration count: " + str(mapIterationCount) + ", last values to plot count: " + str(lastMapIterationCountToPlot)) biax.set_ylim(yLim[0], yLim[1]) if saveFigure: plt.savefig(fileName, dpi=600) else: plt.show() |
Date | |
Source | Own work |
Author | Dan Polansky |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
This media file is uncategorized.
Please help improve this media file by adding it to one or more categories, so it may be associated with related media files (how?), and so that it can be more easily found.
Please notify the uploader with {{subst:Please link images|File:SineMapOrbitDiag2.png}} ~~~~ |
Items portrayed in this file
depicts
some value
9 February 2024
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 09:59, 9 February 2024 | 9,600 × 5,400 (1.64 MB) | Dan Polansky | Uploaded own work with UploadWizard |
File usage
The following page uses this file:
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Horizontal resolution | 236.22 dpc |
---|---|
Vertical resolution | 236.22 dpc |
Software used |
|
Retrieved from "https://en.wikiversity.org/wiki/File:SineMapOrbitDiag2.png"