Contains a branch continuation package along with an expansion-based tool extracting invariant manifolds. Branch continuation is done via a simple Newton-Raphson procedure, coupled to pseudo-arclength continuation. The invariant manifold computation is based on the parameterization method, and relies crucially on the open-source codes
- SSMTool 2.2: https://zenodo.org/record/6338831,
- Sandia tensor toolbox: https://gitlab.com/tensors/tensor_toolbox.
The general use of this package is demonstrated through a sequence of examples -- these can be found in the main folder, their names should be self-explanatory. The accompanying text can be found on arXiv.
With all inquiries, please contact [email protected].