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Update docs/src/catalyst_applications/bifurcation_diagrams.md
Co-authored-by: Sam Isaacson <[email protected]>
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docs/src/catalyst_applications/bifurcation_diagrams.md

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# [Bifurcation Diagrams](@id bifurcation_diagrams)
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Bifurcation diagrams describes how, for a dynamic system, the quantity and quality of its steady states changes with a parameter's value[^1]. These can be computed through the [BifurcationKit.jl](https://github.com/bifurcationkit/BifurcationKit.jl) package. Catalyst provides a simple interface for creating BifurcationKit compatible `BifurcationProblem`s from `ReactionSystem`s. If you use this feature in your research, please [cite the BifurcationKit.jl](@ref bifurcation_kit_citation) and [Catalyst.jl](@ref catalyst_citation) publications.
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Bifurcation diagrams describe how, for a dynamical system, the quantity and type of its steady states change as a parameter is varied[^1]. When using Catalyst-generated models, these can be computed with the [BifurcationKit.jl](https://github.com/bifurcationkit/BifurcationKit.jl) package. Catalyst provides a simple interface for creating BifurcationKit compatible `BifurcationProblem`s from `ReactionSystem`s. If you use this feature in your research, please [cite the BifurcationKit.jl](@ref bifurcation_kit_citation) and [Catalyst.jl](@ref catalyst_citation) publications.
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This tutorial briefly introduces how to use Catalyst in conjecture with BifurcationKit through basic examples, with BifurcationKit.jl providing [a more extensive documentation](https://bifurcationkit.github.io/BifurcationKitDocs.jl/stable/). Especially for more complicated systems, where careful tuning of algorithm options might be required, reading the BifurcationKit documentation is recommended. Finally, BifurcationKit provides many additional features not described here, including [computation of periodic orbits](https://bifurcationkit.github.io/BifurcationKitDocs.jl/stable/periodicOrbit/), [tracking of bifurcation points along secondary parameters](https://bifurcationkit.github.io/BifurcationKitDocs.jl/dev/branchswitching/), and [bifurcation computations for PDEs](https://bifurcationkit.github.io/BifurcationKitDocs.jl/dev/tutorials/tutorials/#PDEs:-bifurcations-of-equilibria).
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