# \#dynamical-systems

**URL:** https://discourse.julialang.org/tag/dynamical-systems/1004.md

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## [JuliaDynamics monthly meetings - round 2!](https://discourse.julialang.org/t/juliadynamics-monthly-meetings-round-2/132357)

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**Author:** [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Replies:** 37\
**Last updated:** [September 10, 2026, 2:06pm UTC](https://discourse.julialang.org/t/juliadynamics-monthly-meetings-round-2/132357 "2026-09-10T14:06:12Z")

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Hello everyone! Following last year’s meetings, I am coordinating again this year monthly meetings named “JuliaDynamics meetings” broadly around the subjects: Dynamical systems, complex systems, nonlinear dynamics, and…

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## [DynamicalSystems.jl - news, updates, and announcements](https://discourse.julialang.org/t/dynamicalsystems-jl-news-updates-and-announcements/122079)

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**Author:** [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Replies:** 11\
**Last updated:** [August 5, 2026, 7:25am UTC](https://discourse.julialang.org/t/dynamicalsystems-jl-news-updates-and-announcements/122079 "2026-08-05T07:25:36Z")

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Hello everyone, this Topic will serve as a “mega-thread” sorts of post where all updates regarding the DynamicalSystems.jl library are posted. The updates here will range from noteworthy new features to potentially brea…

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## [JuliaDynamics + DynamicalSystems.jl 10 year Symposium](https://discourse.julialang.org/t/juliadynamics-dynamicalsystems-jl-10-year-symposium/138566)

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**Author:** [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Replies:** 0\
**Last updated:** [August 2, 2026, 8:34am UTC](https://discourse.julialang.org/t/juliadynamics-dynamicalsystems-jl-10-year-symposium/138566 "2026-08-02T08:34:27Z")

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Hello everyone, In August 2027, the 28th to be precise, it will be the 10 years (:open\_mouth:) anniversary since the DynamicalSystems.jl Julia package, and the JuliaDynamics GitHub org were announced. Since that time th…

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## [Trying Julia for Analytic combinatorics](https://discourse.julialang.org/t/trying-julia-for-analytic-combinatorics/103682)

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**Author:** [@fargolo](https://discourse.julialang.org/u/fargolo)\
**Replies:** 10\
**Last updated:** [July 9, 2026, 10:22pm UTC](https://discourse.julialang.org/t/trying-julia-for-analytic-combinatorics/103682 "2026-07-09T22:22:11Z")

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Hello, fellow colleagues in the Julia community. This question may not be a good fit for the Julia Discourse, but any help is appreciated. I was exploring Analytic Combinatorics (by Flajolet & Sedgewick). The part abou…

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## [\[ANN\] LinearMPC.jl: Embedded Model Predictive Control of linear systems](https://discourse.julialang.org/t/ann-linearmpc-jl-embedded-model-predictive-control-of-linear-systems/128484)

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**Author:** [@darnstrom](https://discourse.julialang.org/u/darnstrom)\
**Replies:** 10\
**Last updated:** [April 8, 2026, 10:48pm UTC](https://discourse.julialang.org/t/ann-linearmpc-jl-embedded-model-predictive-control-of-linear-systems/128484 "2026-04-08T22:48:45Z")

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I am developing the package LinearMPC.jl, which is a package for Model Predictive Control (MPC) of linear dynamical systems. The focus of the package to produce high-performant and lightweight C-code that can easily be …

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## [Permanent research engineer position in scientific computing for dynamical systems at INRAE, Montpellier, France](https://discourse.julialang.org/t/permanent-research-engineer-position-in-scientific-computing-for-dynamical-systems-at-inrae-montpellier-france/135700)

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**Author:** [@dmetivie](https://discourse.julialang.org/u/dmetivie)\
**Replies:** 0\
**Last updated:** [February 17, 2026, 9:12am UTC](https://discourse.julialang.org/t/permanent-research-engineer-position-in-scientific-computing-for-dynamical-systems-at-inrae-montpellier-france/135700 "2026-02-17T09:12:59Z")

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Our “Mathematics, Computer Science, and Statistics for the Environment and Agronomy” (MISTEA) unit, located in Montpellier in the Occitanie region, is offering a permanent position as a ingénieur.e d’étude in scientific …

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## [Poincare section for Henon Helies system](https://discourse.julialang.org/t/poincare-section-for-henon-helies-system/124059)

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**Author:** [@nn-heckfy](https://discourse.julialang.org/u/nn-heckfy)\
**Replies:** 9\
**Last updated:** [November 10, 2025, 3:12pm UTC](https://discourse.julialang.org/t/poincare-section-for-henon-helies-system/124059 "2025-11-10T15:12:48Z")

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Greetings. I’m trying to solve a problem of plotting a Poincare map for the Henon Heiles’s system. But the figure is completely painted over, but should have cavities. Maybe I’m using the Julia commands incorrectly someh…

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## [Error using delay\_fnn](https://discourse.julialang.org/t/error-using-delay-fnn/132297)

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**Author:** [@dylanmcn](https://discourse.julialang.org/u/dylanmcn)\
**Replies:** 3\
**Last updated:** [September 11, 2025, 9:41pm UTC](https://discourse.julialang.org/t/error-using-delay-fnn/132297 "2025-09-11T21:41:28Z")

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Hello, I am trying to use the delay\_fnn function in the DynamicalSystems package and I keep getting the following error: ERROR: MethodError: no method matching StateSpaceSet{2, Float64, SVector{2, Float64}, Nothing}(::…

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## [Monthly meetups kickstart: JuliaDynamics (and beyond!)](https://discourse.julialang.org/t/monthly-meetups-kickstart-juliadynamics-and-beyond/117359)

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**Author:** [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Replies:** 24\
**Last updated:** [September 11, 2025, 12:20pm UTC](https://discourse.julialang.org/t/monthly-meetups-kickstart-juliadynamics-and-beyond/117359 "2025-09-11T12:20:11Z")

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Hey all! Inspired by the JuliaHealth meetings I am going to be organizing and coordinating monthly meetings for the general topic: Dynamical systems, complex systems, nonlinear dynamics, and nonlinear timeseries analysi…

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## [Rank-deficient jacobian error in Newton-Raphson method for unstable limit cycle refinement](https://discourse.julialang.org/t/rank-deficient-jacobian-error-in-newton-raphson-method-for-unstable-limit-cycle-refinement/129975)

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**Author:** [@R.Kanakov](https://discourse.julialang.org/u/R.Kanakov)\
**Replies:** 3\
**Last updated:** [June 17, 2025, 10:20pm UTC](https://discourse.julialang.org/t/rank-deficient-jacobian-error-in-newton-raphson-method-for-unstable-limit-cycle-refinement/129975 "2025-06-17T22:20:57Z")

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I am trying to refine the position of an unstable limit cycle within a chaotic attractor using the Newton-Raphson method, but I am running into a confusing error related to a rank-deficient matrix. To avoid degeneracy o…

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## [Dynamical systems with AbstractArray Interface](https://discourse.julialang.org/t/dynamical-systems-with-abstractarray-interface/127073)

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**Author:** [@rveltz](https://discourse.julialang.org/u/rveltz)\
**Replies:** 2\
**Last updated:** [March 24, 2025, 1:32pm UTC](https://discourse.julialang.org/t/dynamical-systems-with-abstractarray-interface/127073 "2025-03-24T13:32:26Z")

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Dear all, I am interested in a “survey” of which packages, in the context of dynamical systems (Trixi, VoronoiFVM, Gridap…), linear solvers, etc is using AbstractArray as a state space and which one is not. Bifurcation…

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## [\[ANN\] PeriodicSystems.jl - Analysis and design of linear periodic time-varying systems](https://discourse.julialang.org/t/ann-periodicsystems-jl-analysis-and-design-of-linear-periodic-time-varying-systems/124919)

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**Author:** [@andreasvarga](https://discourse.julialang.org/u/andreasvarga)\
**Replies:** 0\
**Last updated:** [January 19, 2025, 12:32pm UTC](https://discourse.julialang.org/t/ann-periodicsystems-jl-analysis-and-design-of-linear-periodic-time-varying-systems/124919 "2025-01-19T12:32:55Z")

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Many control system applications are formulated as genuine periodic control problems, as for example, satellite attitude control, helicopter forward flight control, orbital stabilization of underactuated systems, etc. Be…

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## [PhD Position: Probabilistic approaches to tipping points in natural systems with application to cloud transitions](https://discourse.julialang.org/t/phd-position-probabilistic-approaches-to-tipping-points-in-natural-systems-with-application-to-cloud-transitions/124714)

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**Author:** [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Replies:** 0\
**Last updated:** [January 13, 2025, 10:46am UTC](https://discourse.julialang.org/t/phd-position-probabilistic-approaches-to-tipping-points-in-natural-systems-with-application-to-cloud-transitions/124714 "2025-01-13T10:46:46Z")

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Hello everyone! I would like to advertise a PhD position I got funding for, at the University of Exeter: Probabilistic approaches to tipping points in natural systems with application to cloud transitions The project …

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## [Weird behavior of lyapynovspectrum from ChaosTools.jl](https://discourse.julialang.org/t/weird-behavior-of-lyapynovspectrum-from-chaostools-jl/124136)

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**Author:** [@EvgenijGr](https://discourse.julialang.org/u/EvgenijGr)\
**Replies:** 3\
**Last updated:** [December 23, 2024, 9:18pm UTC](https://discourse.julialang.org/t/weird-behavior-of-lyapynovspectrum-from-chaostools-jl/124136 "2024-12-23T21:18:12Z")

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Hello! I’ve encountered a weird behavior of lyapunovspectrum when I was investigating my nonlinear system. A MWE can be found here: using ChaosTools, DifferentialEquations, CairoMakie function couple(x, y, vThr, k, hO…

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## [Too many bifurcation points marked](https://discourse.julialang.org/t/too-many-bifurcation-points-marked/123504)

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**Author:** [@Caitlin\_Lienkaemper](https://discourse.julialang.org/u/Caitlin_Lienkaemper)\
**Replies:** 8\
**Last updated:** [December 6, 2024, 5:18am UTC](https://discourse.julialang.org/t/too-many-bifurcation-points-marked/123504 "2024-12-06T05:18:59Z")

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I’m trying to use BifurcationKit.jl to continue a periodic orbit in a 2d dynamical system. Currently, I’m seeing “too many” bifurcation points marked, i.e. blue points marked “bp” appear where the system does not change …

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## [How to determine whether the rule of an DynamicalSystem instance is inplace?](https://discourse.julialang.org/t/how-to-determine-whether-the-rule-of-an-dynamicalsystem-instance-is-inplace/123041)

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**Author:** [@andreasmorr](https://discourse.julialang.org/u/andreasmorr)\
**Replies:** 2\
**Last updated:** [November 25, 2024, 8:59am UTC](https://discourse.julialang.org/t/how-to-determine-whether-the-rule-of-an-dynamicalsystem-instance-is-inplace/123041 "2024-11-25T08:59:01Z")

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I would like to define a function that takes a DynamicalSystem ds as an argument and computes the Jacobian of dynamic\_rule(ds) for further analysis. For this, it would be good to know whether dynamic\_rule(ds) returns an …

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## [BifurcationKit.jl: Continuation of non-autonomous ODE limit cycle](https://discourse.julialang.org/t/bifurcationkit-jl-continuation-of-non-autonomous-ode-limit-cycle/121871)

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**Author:** [@mjowen](https://discourse.julialang.org/u/mjowen)\
**Replies:** 0\
**Last updated:** [October 28, 2024, 2:40pm UTC](https://discourse.julialang.org/t/bifurcationkit-jl-continuation-of-non-autonomous-ode-limit-cycle/121871 "2024-10-28T14:40:33Z")

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Hi, I have a non-autonomous periodic ODE system and I want to use BifurcationKit to run continuation on the limit cycle. The system features a periodic discontinuous forcing function I\_St. I have followed the steps here …

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## [\[NEW\] SimpleSim.jl: A minimalist Julia package for modular dynamical systems simulation](https://discourse.julialang.org/t/new-simplesim-jl-a-minimalist-julia-package-for-modular-dynamical-systems-simulation/121308)

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**Author:** [@janneshb](https://discourse.julialang.org/u/janneshb)\
**Replies:** 11\
**Last updated:** [October 17, 2024, 11:52am UTC](https://discourse.julialang.org/t/new-simplesim-jl-a-minimalist-julia-package-for-modular-dynamical-systems-simulation/121308 "2024-10-17T11:52:20Z")

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Hello everyone, I’m very happy to announce my first larger Julia package SimpleSim.jl which is now available on the Julia package registry! SimpleSim.jl aims at being a lightweight simulation engine 100% written in Jul…

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## [Evolving a DynamicalSystem until it is close to an attractor](https://discourse.julialang.org/t/evolving-a-dynamicalsystem-until-it-is-close-to-an-attractor/121294)

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**Author:** [@andreasmorr](https://discourse.julialang.org/u/andreasmorr)\
**Replies:** 2\
**Last updated:** [October 15, 2024, 11:16am UTC](https://discourse.julialang.org/t/evolving-a-dynamicalsystem-until-it-is-close-to-an-attractor/121294 "2024-10-15T11:16:34Z")

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Hello! I’ve been working with DynamicalSystems.jl and Attractors.jl and I’m wondering if there exists the following functionality: I would like to obtain a trajectory of a given DynamicalSystem and initial condition, wh…

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## [Facing problems with Sundials.jl (ARKODE) with discrete callback](https://discourse.julialang.org/t/facing-problems-with-sundials-jl-arkode-with-discrete-callback/119278)

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**Author:** [@humhongekamyaab](https://discourse.julialang.org/u/humhongekamyaab)\
**Replies:** 5\
**Last updated:** [September 14, 2024, 6:24am UTC](https://discourse.julialang.org/t/facing-problems-with-sundials-jl-arkode-with-discrete-callback/119278 "2024-09-14T06:24:39Z")

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Hello everyone, I want to use CashKarp RK explicit algorithm (Numerical Recipe 2nd Edition RK) from Sundials.jl for my particular ODE system and need a discrete callback to do some manipulations after each time step. h…

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## [Need advice on pecuzal\_embedding and RecurrenceMatrix](https://discourse.julialang.org/t/need-advice-on-pecuzal-embedding-and-recurrencematrix/119257)

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**Author:** [@NumberCruncher](https://discourse.julialang.org/u/NumberCruncher)\
**Replies:** 1\
**Last updated:** [September 10, 2024, 7:55pm UTC](https://discourse.julialang.org/t/need-advice-on-pecuzal-embedding-and-recurrencematrix/119257 "2024-09-10T19:55:15Z")

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I’m new to Julia and looking to use it to analyse time-series. My current aim is to compare MatrixProfile to RecurrenceMatrix for my application. The trouble is that with the code below, I am encountering: ERROR: Com…

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## [Corrupted double-linked list DifferentialEquations.jl](https://discourse.julialang.org/t/corrupted-double-linked-list-differentialequations-jl/119120)

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**Author:** [@mm-crj](https://discourse.julialang.org/u/mm-crj)\
**Replies:** 4\
**Last updated:** [September 10, 2024, 9:13am UTC](https://discourse.julialang.org/t/corrupted-double-linked-list-differentialequations-jl/119120 "2024-09-10T09:13:20Z")

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I am trying to solve a large system of odes as a finite volume discretisation of the heat equation on an unstructured mesh. However, as I approach the 10-15k equations mark, by deceasing grid size the solvers start to fa…

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## [\[crosspost\] JuliaDynamics meetings (poll closing soon!)](https://discourse.julialang.org/t/crosspost-juliadynamics-meetings-poll-closing-soon/117909)

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**Author:** [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Replies:** 0\
**Last updated:** [August 7, 2024, 7:09am UTC](https://discourse.julialang.org/t/crosspost-juliadynamics-meetings-poll-closing-soon/117909 "2024-08-07T07:09:34Z")

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Hi all, cross-posting here Monthly meetups kickstart: JuliaDynamics (and beyond!) in case someone is subscribed to this particular category, which where all related discussion actually happens. I’ll close the poll at t…

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## [Time-series analysis - Probabilistic inference on RQA ( SymbolicInference.jl)](https://discourse.julialang.org/t/time-series-analysis-probabilistic-inference-on-rqa-symbolicinference-jl/114701)

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**Author:** [@fargolo](https://discourse.julialang.org/u/fargolo)\
**Replies:** 0\
**Last updated:** [May 24, 2024, 8:15pm UTC](https://discourse.julialang.org/t/time-series-analysis-probabilistic-inference-on-rqa-symbolicinference-jl/114701 "2024-05-24T20:15:40Z")

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How it started The SymbolicInference.jl package uses Analytic Combinatorics to perform probabilistic inference over certain combinatorial classes. The first application is explained in this white paper Probabilistic in…

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## [Stiff VS Non-stiff methods: Differing solutions](https://discourse.julialang.org/t/stiff-vs-non-stiff-methods-differing-solutions/114664)

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**Author:** [@Sh\_166](https://discourse.julialang.org/u/Sh_166)\
**Replies:** 9\
**Last updated:** [May 24, 2024, 2:44pm UTC](https://discourse.julialang.org/t/stiff-vs-non-stiff-methods-differing-solutions/114664 "2024-05-24T14:44:25Z")

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Apologies if there has been a trivial mistake or otherwise in what follows. MWE: using Symbolics, Plots, DifferentialEquations, ModelingToolkit, LaTeXStrings, Measures, DynamicalSystems function forced\_osc!(du, u, p,…

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## [Marking user points / events along a cxdimension-one curve of fold bifurcation](https://discourse.julialang.org/t/marking-user-points-events-along-a-cxdimension-one-curve-of-fold-bifurcation/114325)

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**Author:** [@BigEpsilon.jl](https://discourse.julialang.org/u/BigEpsilon.jl)\
**Replies:** 3\
**Last updated:** [May 16, 2024, 2:48pm UTC](https://discourse.julialang.org/t/marking-user-points-events-along-a-cxdimension-one-curve-of-fold-bifurcation/114325 "2024-05-16T14:48:33Z")

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This post is concerning BifurcationKit.jl I doing a bifurcation analysis in two parameters, and want to be able to mark a point along a fold-curve, similar to how it is on in AUTO-07p. I have gotten this working for a …

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## [Jacobian in TangentDynamicalSystem](https://discourse.julialang.org/t/jacobian-in-tangentdynamicalsystem/113140)

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**Author:** [@pclus](https://discourse.julialang.org/u/pclus)\
**Replies:** 9\
**Last updated:** [April 18, 2024, 2:13pm UTC](https://discourse.julialang.org/t/jacobian-in-tangentdynamicalsystem/113140 "2024-04-18T14:13:08Z")

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This is a doubt about the definition of TangentDynamicalSystem in DynamicalSystemsBase. In the documentation it is specified the following about the Jacobian: Jacobian The keyword J provides the Jacobian function. It…

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## [Dynamical system of modelling two particle collisions](https://discourse.julialang.org/t/dynamical-system-of-modelling-two-particle-collisions/112922)

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**Author:** [@hisacro](https://discourse.julialang.org/u/hisacro)\
**Replies:** 4\
**Last updated:** [April 14, 2024, 5:40pm UTC](https://discourse.julialang.org/t/dynamical-system-of-modelling-two-particle-collisions/112922 "2024-04-14T17:40:05Z")

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Hello, I’m trying to model a system with collision dynamics. I’m well aware of Datseris’s DynamicalBillards, contrary to that what I’m studying is collision between 2 particles rather than the fixed geometry as in billa…

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## [\[ANN\] ProcessBasedModelling.jl and ConceptualClimateModels.jl](https://discourse.julialang.org/t/ann-processbasedmodelling-jl-and-conceptualclimatemodels-jl/111556)

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**Author:** [@Datseris](https://discourse.julialang.org/u/Datseris)\
**Replies:** 5\
**Last updated:** [March 17, 2024, 11:19am UTC](https://discourse.julialang.org/t/ann-processbasedmodelling-jl-and-conceptualclimatemodels-jl/111556 "2024-03-17T11:19:58Z")

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Hello everyone, I would like to announce here two packages I’ve just released: ProcessBasedModelling.jl ConceptualClimateModels.jl The first is an extension to ModelingToolkit.jl. Its goal is to provide an alternativ…

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## [Modeling and solving systems of nonlinear dynamic equations](https://discourse.julialang.org/t/modeling-and-solving-systems-of-nonlinear-dynamic-equations/108556)

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**Author:** [@enzo.salvatore](https://discourse.julialang.org/u/enzo.salvatore)\
**Replies:** 11\
**Last updated:** [January 17, 2024, 3:48pm UTC](https://discourse.julialang.org/t/modeling-and-solving-systems-of-nonlinear-dynamic-equations/108556 "2024-01-17T15:48:08Z")

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I am currently a Ph.D. student in economics, and I am looking to find a way to model and solve dynamic systems of nonlinear equations. The goal is to create a dynamic Computable General Equilibrium (CGE) model in Julia. …

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