New Developments in BifurcationKit.jl - JuliaCon 2024

Explore the latest advancements in BifurcationKit.jl through this JuliaCon 2024 talk. Delve into significant enhancements for studying periodic and homoclinic orbits, addressing critical gaps in comparison to other software in the field. Learn about the integration with ModelingToolkit.jl and improved documentation for a more user-friendly experience. Discover new methods for examining bifurcations of periodic orbits as functions of two parameters, accommodating both low-dimensional and large-scale scenarios. Gain insights into the HclinicBifurcationKit.jl package, designed for studying homoclinic orbits with unique Shooting methods support. Follow along with a practical example demonstrating these enhancements and their impact on understanding system dynamics. Examine the design choices made to accommodate diverse solvers and methods for computing periodic orbits, as well as the challenges in creating a user-friendly interface. Conclude by exploring the future direction of bifurcationkit, including ongoing efforts to enhance integration with MethodOfLines.jl, ModelingToolkit.jl, and other frameworks, along with anticipated general additions to the organization.