File:The Heart.png

Summary

Description
English: Position of the free end of a double pendulum with linear springs, subjected to a follower force. This is related to a classical problem in elastic stability, which was first investigated by Hans Ziegler and Vladimir Bolotin in the 1950s and 1960s.

This computational image shows the history of the trajectory, with the time coordinate projected out (removed). The shade indicates the portion of time, out of the whole simulation, that the free end spends at each point in the image.

Overlaid solutions of 36 problem instances, each with the initial condition near the trivial equilibrium. Data-adaptive dynamic range compression has been applied to show maximal detail.
English: Position of the free end of a double pendulum with linear springs, subjected to a follower force.
Date
Source Own work
Author Technologicat

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.
Category:CC-BY-SA-4.0#The%20Heart.pngCategory:Self-published work


Category:Images from European Science Photo Competition 2015 in Finland#The%20Heart.png Category:Image sets from European Science Photo Competition 2015 Category:Double pendulums Category:Trajectories Category:Simulation Category:Uploaded via Campaign:espc-fi
Category:CC-BY-SA-4.0 Category:Double pendulums Category:Image sets from European Science Photo Competition 2015 Category:Images from European Science Photo Competition 2015 in Finland Category:Self-published work Category:Simulation Category:Trajectories Category:Uploaded via Campaign:espc-fi