CriticalTransitions.jl

A Julia package for the numerical investigation of noise- and rate-induced transitions in dynamical systems.

Building on DynamicalSystems.jl and DifferentialEquations.jl, this package aims to provide a toolbox for dynamical systems under time-dependent forcing, with a focus on tipping phenomena and metastability.

Compatibility

This version (v0.2) is now compatible with DynamicalSystems v3.

CT.jl infographic

Current features

Stability analysis: Fixed points, linear stability, basins of attraction, edge tracking
Stochastic simulation: Gaussian noise, uncorrelated and correlated, additive and multiplicative
Transition path sampling: Ensemble sampling by direct simulation and Pathspace Langevin MCMC
Large deviation theory: Action functionals and minimization algorithms (MAM, gMAM)

Planned features

Rare event simulation: importance sampling, AMS
Quasipotentials: Ordered line integral method (OLIM)
Rate-induced tipping tools
...?

Developers: Reyk Börner, Ryan Deeley, Raphael Römer and Orjan Ameye

Thanks to Jeroen Wouters, Calvin Nesbitt, Tobias Grafke, George Datseris and Oliver Mehling

This work is part of the CriticalEarth project.