Is there a package in Julia similar to the package GitHub - auto-07p/auto-07p: AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community. for numerical continuation analysis?
AUTO operates by taking a system of ODEs with parameters and an initial solution point, then numerically continuing this solution curve while detecting changes in stability and bifurcation phenomena. It is implemented primarily in Fortran and includes functionality to handle boundary value problems and integral constraints. Users provide problem definitions through source files with system equations and boundary conditions.