Effect of a Perturbation on the Stable Points of a Dynamical System

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
A bifurcation diagram illustrates how the fixed points in a first-order dynamical system evolve as a function parameter
changes. Take any vertical line upwards (along the
dimension) and note the fixed points at the color boundaries. From brown to purple is a stable point; from purple to brown is an unstable point. The default situation in this example shows a subcritical pitchfork bifurcation. A non-symmetrical perturbation
, added with the slider control, changes the system behavior and its bifurcation diagram.
Contributed by: Andrew Read (December 2008)
After work by: Steven H. Strogatz
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Effect of a Perturbation on the Stable Points of a Dynamical System"
http://demonstrations.wolfram.com/EffectOfAPerturbationOnTheStablePointsOfADynamicalSystem/
Wolfram Demonstrations Project
Published: December 18 2008