# Using fixed points from dynamicalsystems.jl in BifurcationKit.jl

**URL:** <https://discourse.julialang.org/t/using-fixed-points-from-dynamicalsystems-jl-in-bifurcationkit-jl/87213>\
**Category:** Modelling & Simulations\
**Created:** [September 13, 2022, 1:27pm UTC](https://discourse.julialang.org/t/using-fixed-points-from-dynamicalsystems-jl-in-bifurcationkit-jl/87213 "2022-09-13T13:27:07Z")\
**Posts on this page:** 5\
**Page:** 1

<div class="post-metadata">

**Author:** ![Sergey\_Novak](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/sergey_novak/32/37716_2.png) [@Sergey\_Novak](https://discourse.julialang.org/u/Sergey_Novak)\
**Post date:** [September 13, 2022, 1:27pm UTC](https://discourse.julialang.org/t/using-fixed-points-from-dynamicalsystems-jl-in-bifurcationkit-jl/87213/1 "2022-09-13T13:27:07Z")

</div>

I find fixed points by changing two parameters of a continuous system using the fixed point() function. How correctly use finded fixed points for plotting bifurcation diagram by BifurcationKit.jl?  
Are there any examples of their sharing packages? I didn’t find them in the packages documentation

I was plot the eigenvalues of fixed points. Then i determinate bifurcations using the diagram.  
For example, an several eigenvalue diagram for one fixed point that was found `fixedpoint()`.

 ![image](https://global.discourse-cdn.com/julialang/original/3X/f/b/fb2e5de8bcd0dbf1e2a6894c0adbd56df6be7df6.png)

---

<div class="post-metadata">

**Author:** ![Datseris](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/datseris/32/13406_2.png) [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Post date:** [September 13, 2022, 1:36pm UTC](https://discourse.julialang.org/t/using-fixed-points-from-dynamicalsystems-jl-in-bifurcationkit-jl/87213/2 "2022-09-13T13:36:21Z")

</div>

The point is that you should use the `fixedpoints` from DynamicalSystems.jl to find the _starts_ of the branches to continuate later with BifurcationKit.jl. The advantage of `fixedpoints` is that it is guaranteed to find all fixed points of the system. The disadvantage is that it is costly. So you use it for the starting seeds of your continuation.

---

<div class="post-metadata">

**Author:** ![Datseris](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/datseris/32/13406_2.png) [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Post date:** [September 13, 2022, 1:36pm UTC](https://discourse.julialang.org/t/using-fixed-points-from-dynamicalsystems-jl-in-bifurcationkit-jl/87213/3 "2022-09-13T13:36:48Z")

</div>

We explain this process in detail in section 2 of chapter 4 of [Nonlinear Dynamics | SpringerLink](https://link.springer.com/book/10.1007/978-3-030-91032-7)

---

<div class="post-metadata">

**Author:** ![Sergey\_Novak](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/sergey_novak/32/37716_2.png) [@Sergey\_Novak](https://discourse.julialang.org/u/Sergey_Novak)\
**Post date:** [September 13, 2022, 1:43pm UTC](https://discourse.julialang.org/t/using-fixed-points-from-dynamicalsystems-jl-in-bifurcationkit-jl/87213/4 "2022-09-13T13:43:09Z")

</div>

Thank you

---

<div class="post-metadata">

**Author:** ![Sergey\_Novak](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/sergey_novak/32/37716_2.png) [@Sergey\_Novak](https://discourse.julialang.org/u/Sergey_Novak)\
**Post date:** [September 13, 2022, 2:08pm UTC](https://discourse.julialang.org/t/using-fixed-points-from-dynamicalsystems-jl-in-bifurcationkit-jl/87213/5 "2022-09-13T14:08:19Z")

</div>

Can I ask a question about the produce\_orbitdiagram() so as not to create a new topic?