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Fork

Fork is a browser-based numerical bifurcation continuation software application, supporting the analysis of smooth finite-dimensional maps and systems of ordinary differential equations. The goal is to support all popular mobile and desktop devices.

Supporters

Fork is developed in my spare time and incentivized both by my personal use of the software and by Patreon support. People who have supported Fork on Patreon are listed below.

Current Supporters

  • Christopher Hitzel
  • Jacob Price
  • Julien Brenneck

Bifurcations by codimension

A checkmark denotes that support for the bifurcation type has been implemented. I will have to study some more theory of numerical bifurcation analysis in maps before putting together a to-do list there.

Maps

  • Codimension 0
  • Codimension 1
  • Codimension 2

ODE systems

  • Codimension 0
    • Equilibrium
    • Periodic Orbit
  • Codimension 1
    • Andronov-Hopf
    • Homoclinic to Saddle-Equilibrium
    • Homoclinic to Saddle-Focus
    • Homoclinic to Saddle-Periodic-Orbit
    • Saddle-Node
    • Saddle-Node of Periodic Orbits
  • Codimension 2
    • Bautin Point / Generalized Andronov-Hopf
    • Bogdanov-Takens
    • Saddle-to-Saddle-Focus
    • Zero-Hopf
    • Shilnikov-Hopf

Rendering

Fork uses MathBox and Plotly to render trajectories, bifurcation diagrams, and other visualizations.

Building

Install yarn and run yarn add vite followed by yarn vite.

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Numerical bifurcation continuation

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