In this workshop, we will discuss some techniques in numerical continuation and bifurcation analysis using XPPAUT*. This is a free package that often works best in Windows terminal and often been used for numerically solving and analysing dynamical systems. The problems that can be solved using these tools can range from deterministic ordinary-differential equations to stochastic models, to partial differential and integro-differential equations. The trainer will guide the participants how to get started and beyond with XPPAUT. The workshop starts with a gentle introduction and how to install this software, and an overview of the numerical routines, followed by solving the steady-states, graphing and plotting. Thereafter sessions gradually increase in complexity, covering general steps in bifurcation analysis and how to compute complete bifurcation diagrams, particularly co-dimension one and co-dimension two bifurcation plots. 

*XPPAUT is a free package maintained by its creator Prof. Bard Ermentrout of University of Pittsburgh. Since the last update to the package was in 2016, it works best in Windows terminal like Windows 10 and the older version. If students want to use Mac, he/she will need to check the latest version of XPPAUT for Mac. 

Here is the link to XPPAUT website: https://sites.pitt.edu/~phase/bard/bardware/xpp/xpp.html