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.

CT.jl infographic

Current features

Stochastic simulation made easy: Gaussian noise, uncorrelated and correlated, additive and multiplicative
Transition path sampling: Parallelized ensemble rejection sampling
Large deviation theory tools: 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
Symbolic differentiation of action functionals
...?

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.