# BifurcationKit.jl: deflated continuation

**URL:** https://discourse.julialang.org/t/bifurcationkit-jl-deflated-continuation/46162
**Category:** Package Announcements
**Created:** [September 6, 2020, 9:44pm UTC](https://discourse.julialang.org/t/bifurcationkit-jl-deflated-continuation/46162 "2020-09-06T21:44:45Z")
**Posts on this page:** 1
**Page:** 1

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### Author: ![rveltz](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/rveltz/32/2707_2.png) [@rveltz](https://discourse.julialang.org/u/rveltz)
#### Post date: [September 6, 2020, 9:44pm UTC](https://discourse.julialang.org/t/bifurcationkit-jl-deflated-continuation/46162/1 "2020-09-06T21:44:45Z")

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I am writing this post to report about my package [BifurcationKit.jl](https://github.com/rveltz/BifurcationKit.jl).

The focus of this version is automatic bifurcation diagram (aBD) computation for PDEs. Although this is a bit preliminary, I am excited to share some advances regarding the case of equilibria using a new technics called deflated continuation. Combined with automatic Bifurcation Diagram (BD) of my previous [post](https://discourse.julialang.org/t/bifurcationkit-jl-automatic-bifurcation-diagrams-in-julia/42192), its offers a new way of obtaining a bifurcation diagram for PDE (or nonlocal equations,…) albeit allowing to discovering disconnected branches. A simple example is shown [here](https://rveltz.github.io/BifurcationKit.jl/dev/tutorialCarrier/#Deflated-Continuation-in-the-Carrier-Problem-1).

I have several improvements to the basic underlying algo (not yet pushed) but I am not sure how to parallelize it. If you want to take a look at it, it is located [here](https://github.com/rveltz/BifurcationKit.jl/blob/master/src/DeflatedContinuation.jl).

WIth this is new very exciting method, [BifurcationKit.jl](https://github.com/rveltz/BifurcationKit.jl) offers 2 **powerful** ways of computing BD **automatically** , each one with its own pro and cons.

@ChrisRackauckas @Elrod this is the method I discussed with you many times.