Global Dynamics Research Group

Download DynIn: Matlab Toolbox for estimating the dynamical integrity (or basin stability) of dynamical systems

This version of the toolbox incorporates the classical DynIn and DynInD, which are included in a single toolbox. The code handles fixed points, periodic solutions, limit cycles generated from ordinary differential equations, difference equations, delay differential equations, black box models, including non-smooth systems.
Related papers:
"G. Habib, Dynamical integrity assessment of stable equilibria: a new rapid iterative procedure, Nonlinear Dynamics (2021)"
"B. Szaksz, G. Stepan, G. Habib, Dynamical integrity estimation in time delayed systems: a rapid iterative algorithm, Journal of Sound and Vibration (2023)"

Code for semi-discretization method

Semidiscration code (tutorial in preparation)
Code for the automatic implementation of the semi-discretization method in time-delayed systems.
Related paper: "B. Szaksz, G. Stepan, G. Habib, Dynamical integrity estimation in time delayed systems: a rapid iterative algorithm, Journal of Sound and Vibration (2023)"

Code utilized for the realization of the paper: "G. Habib, A. Horvath, Fold Bifurcation Identification through Scientific Machine Learning, Physica D: Nonlinear Phenomena (2024)"
Source code