File:Bifurcations and crises of Ikeda attractor.png

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (2,532 × 1,821 pixels, file size: 1.47 MB, MIME type: image/png)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
Description
English: Bifurcation diagram and basins of attraction for attractors of the Ikeda map.

The top diagram shows how the real part of iterates change depending on the control parameter. Period doubling bifurcations are clearly visible. For some parameter values multiple attractors coexist, and as the parameters change they suddenly appear or disappear (a crisis). In particular, the top attractor suffers a crisis near 1.56, merging with another attractor. This one disappears in a crisis near 1.59. A large strange attractor appears through a crisis near 1.79.

The diagrams below show the basins of attraction (colour) and the attractors (white) for selected parameter values.The colours are calculated based on the mean orbit of points starting in a particular location: the swirls inside a basin seen for some parameter values indicate long chaotic transients.
Date
Source Own work
Author Anders Sandberg

Licensing

[edit]
I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current11:27, 14 December 2011Thumbnail for version as of 11:27, 14 December 20112,532 × 1,821 (1.47 MB)Anders Sandberg (talk | contribs)

You cannot overwrite this file.

There are no pages that use this file.

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Bifurcations_and_crises_of_Ikeda_attractor.png&oldid=823464910"