Visualizing Homoclinic Tangles

Plots stable and unstable manifolds of the map x_(n+1) = x_(n) + y_(n+1), y_(n+1) = y_(n) +kx_n(x_n-1) interactively.

Version 1.1 (38.1 KB)
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31 Jan 2020

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Plots stable and unstable manifolds of the map x_(n+1) = x_(n) + y_(n+1), y_(n+1) = y_(n) +kx_n(x_n-1) interactively. Allows for users to toggle parameter values and number of total timesteps / iterations to visualize the effects that various parameter values have on the dynamics. Made as a part of Steven Strogatz's MATH 6270 at Cornell University.

Cite As

Mallory Gaspard (2026). Visualizing Homoclinic Tangles (https://www.mathworks.com/matlabcentral/fileexchange/74061-visualizing-homoclinic-tangles), MATLAB Central File Exchange. Retrieved .

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MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
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Version Published Release Notes
1.1

Removed X and Y tics to remedy the axis sizing bug that was occurring before pushing "Plot"
1.0