File:Double pendulum flip time 2021.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file(3,199 × 3,199 pixels, file size: 25.17 MB, MIME type: image/png)

Summary

Description
English: This image is an update of this chart (File:Double_pendulum_flips_graph.png). In higher resolution an a different color scheme.

Explanation: The x and y directions represents the angles that a double pendulum consisting of two uniform bars of same length and mass makes with the vertical direction, being the center of the image 0º and the extremities +- 179.9º. Both bars are initially with zero velocity. The color represents the time (in units of ) that it takes for one of the two pendulums to flip, being black less than 1 unit of time, from red to violet it ranges in a logarithm sacel from 1 to 10000 units of time. White means no flip was observed within 10000 units of time.

Calculations Details:

The calculations were done using an 8th order Runge-Kutta-Fehlberg embedded with a 7th order method. Tolerance was set to for the maximum absolute value of all four components of the phase space. To give an idea this resulted in an average time step of 0.025 units of time.
Date
Source Own work
Author FurtadoG

Licensing

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 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.
  • 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.

Captions

Time for a double pendulum to flip as a function of initial conditions

Items portrayed in this file

depicts

13 May 2021

image/png

File history

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

Date/TimeThumbnailDimensionsUserComment
current15:37, 14 May 2021Thumbnail for version as of 15:37, 14 May 20213,199 × 3,199 (25.17 MB)G FurtadoMinor changes in color scheme
11:42, 14 May 2021Thumbnail for version as of 11:42, 14 May 20213,199 × 3,199 (24.95 MB)FurtadoGUploaded own work with UploadWizard
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: