The brain dynamics toolbox is open-source software for simulating non-linear dynamical systems in matlab. it is intended for students and researchers in computational neuroscience but can be applied to any domain. it specifically solves initial-value problems in systems of ordinary differential equations (odes), delay differential equations (ddes) and stochastic differential equations (sdes). each of which can be extended to a system of partial differential equations (pdes).the toolbox allows new dynamical systems to be rapidly prototyped and explored in an intuitive graphical application. its hub-and-spoke software architecture allows interchangeable solver algorithms and plotting tools to be applied with no additional programming effort. large-scale simulations can be run in user-defined scripts and the code for the model can be published independently of the toolbox.1st prize winner: 2018 competition for software on dynamical systems theory and its applications. junior faculty category. society for industrial and applied mathematics (siam)honourable mention: 2019 competition for tutorials on dynamical systems software. junior faculty category. society for industrial and applied mathematics (siam)