File:Bifurcations and crises of Ikeda attractor.png
Size of this preview: 800 × 575 pixels. Other resolutions: 320 × 230 pixels | 640 × 460 pixels | 1,024 × 736 pixels | 1,280 × 921 pixels | 2,532 × 1,821 pixels.
Original file (2,532 × 1,821 pixels, file size: 1.47 MB, MIME type: image/png)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| 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
I, the copyright holder of this work, hereby publish it under the following license:
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/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:27, 14 December 2011 | | 2,532 × 1,821 (1.47 MB) | Anders Sandberg |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on www.wikidata.org
