File:LogisticMapOrbitDiag P3Zoom.png
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Summary
DescriptionLogisticMapOrbitDiag P3Zoom.png |
English: Produced by the following Python code adapted from Wikipedia article Logistic map:
import numpy as np import matplotlib.pyplot as plt preset = 5 saveFigure = True markerSize = 0.001 markerStyle = "," # . - point; , - pixel progressReportBlockLen = 1000 if preset == 1: # Complete diagram on the conventional range rInterval = (-0.1, 4.1) rResolution = 0.0005 mapIterationCount = 1000 lastMapIterationCountToPlot = 1000 startingIterationValue = 0.5 yLim = (-0.1, 1.1) fileName = "LogisticMapOrbitDiag.png" if preset == 2: # Complete diagram, including the negative r rInterval = (-2.1, 4.1) rResolution = 0.0005 mapIterationCount = 1000 lastMapIterationCountToPlot = 1000 startingIterationValue = 0.5 yLim = (-0.6, 1.6) fileName = "LogisticMapOrbitDiag_InclNegR.png" if preset == 3: # Zoom on the leftmost bifurcation region rInterval = (3.54, 3.5705) #3.571 rResolution = 0.000004 mapIterationCount = 500 #1000 lastMapIterationCountToPlot = 500 startingIterationValue = 0.5 yLim = (0.33, 0.9) fileName = "LogisticMapOrbitDiag_BifurcZoom.png" if preset == 4: # Complete diagram on the conventional range, skip early iterates rInterval = (-0.1, 4.1) rResolution = 0.0005 mapIterationCount = 10000 lastMapIterationCountToPlot = 1000 startingIterationValue = 0.5 yLim = (-0.1, 1.1) fileName = "LogisticMapOrbitDiag_SkipEarlyIter.png" progressReportBlockLen = 100 if preset == 5: # Zoom into the period-3 window rInterval = (3.825, 3.865) rResolution = 0.000005 mapIterationCount = 1000 lastMapIterationCountToPlot = 1000 startingIterationValue = 0.5 yLim = (0.1, 1.0) fileName = "LogisticMapOrbitDiag_P3Zoom.png" lims = np.zeros(mapIterationCount) fig, biax = plt.subplots() fig.set_size_inches(16, 9) itemCount = 0 for r in np.arange(rInterval[0], rInterval[1], rResolution): itemCount += 1 lims[0] = startingIterationValue for i in xrange(mapIterationCount - 1): lims[i + 1] = r * lims[i] * (1 - lims[i]) if itemCount % progressReportBlockLen == 0: print("Parameter values processed:", itemCount) biax.plot([r] * lastMapIterationCountToPlot, lims[(mapIterationCount - lastMapIterationCountToPlot):], "b.", markersize=markerSize, marker=markerStyle) biax.set(xlabel="c", ylabel="x", title="Logistic map - r * x (1 - x) - bifurcation diagram/orbit diagram" + "\n" "r resolution: " + str(rResolution) + ", 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 |
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9 February 2024
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 10:37, 9 February 2024 | 9,600 × 5,400 (2.71 MB) | Dan Polansky | Uploaded own work with UploadWizard |
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Horizontal resolution | 236.22 dpc |
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Vertical resolution | 236.22 dpc |
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