DynIn, DynInD and other scripts
DynIn: Matlab Toolbox for estimating the local integrity measure (LIM) of dynamical systems
DynIn v. 1.0.2 (includes tutorial)
This version of the toolbox handles fixed points and periodic solutions of known period, generated from differential equations, difference equations, or most types of mathematical models, including non-smooth systems. A version of the code for limit cycles of generic period is currently under development.
Related paper: "G. Habib, Dynamical integrity assessment of stable equilibria: a new rapid iterative procedure, Nonlinear Dynamics (2021)"
DynInD: Matlab Toolbox for estimating the local integrity measure (LIM) of delayed dynamical systems
DynInD v. 1.0.1 (tutorial in preparation)
This version of the toolbox handles fixed points of delayed differential equations.
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 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)"
Other scripts
Code utilized for the realization of the paper: "G. Habib, A. Horvath, Forecasting Fold Bifurcations through Physics-Informed Convolutional Neural Networks, currently under review"
Source code