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HclinicBifurcationKit

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HclinicBifurcationKit.jl is a component package in the BifurcationKit ecosystem. It holds the utilities concerning the computations of homoclinic (heteroclinic) orbits. While completely independent and usable on its own, users interested in using this functionality should check out BifurcationKit.jl.

Installation

Assuming that you already have Julia correctly installed, it suffices to import HclinicBifurcationKit.jl in the standard way:

] add HclinicBifurcationKit

Support and citation

If you use this package for your work, we ask that you cite the following paper. Open source development as part of academic research strongly depends on this. Please also consider starring this repository if you like our work, this will help us to secure funding in the future. It is referenced on HAL-Inria as follows:

@misc{veltz:hal-02902346,
  TITLE = {{BifurcationKit.jl}},
  AUTHOR = {Veltz, Romain},
  URL = {https://hal.archives-ouvertes.fr/hal-02902346},
  INSTITUTION = {{Inria Sophia-Antipolis}},
  YEAR = {2020},
  MONTH = Jul,
  KEYWORDS = {pseudo-arclength-continuation ; periodic-orbits ; floquet ; gpu ; bifurcation-diagram ; deflation ; newton-krylov},
  PDF = {https://hal.archives-ouvertes.fr/hal-02902346/file/354c9fb0d148262405609eed2cb7927818706f1f.tar.gz},
  HAL_ID = {hal-02902346},
  HAL_VERSION = {v1},
}

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Computation of homoclinic (heteroclinic) orbits.

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