Bifurcation Diagram Construction

Bifurcation Diagram Construction
Loading the math board and drawing, please wait…
2017-05-31 03:12
This example demonstrates how to construct a bifurcation diagram using GeoGebra, visually representing the stability changes of a system as a parameter varies. Core mathematical concepts include dynamical systems, parameter space, attractors, and bifurcation points. Key construction steps involve using the Intersect command to find intersections, Point objects to create points, and functions like f, k, g to represent the system dynamics, with a slider for parameter variation. Suitable for high school students and math enthusiasts studying chaos theory and dynamical systems.

GeoGebra Commands & Parameters

  1. Intersect(f, g) → A, B
  2. Point({k, p1}) → b1
  3. Point({k, p2}) → b2