Mathematical and Computational Physics

Recently, our research work has focused on the following lines:

• Creation of new methods and algorithms for the analytical resolution of systems of ordinary differential equations (determination of first integrals). We also produce techniques for the analysis of the integration of such systems when they depend on free parameters.
• We have developed new methods for the analysis of Complex Systems through Nonlinear Analysis of Time Series. Basically, time series are a set of chronologically ordered data extracted from physical, biological, economic, etc. systems. The intent is to determine the dynamics behind such systems (and even if there is one) in addition to making predictions about future entry values in the Series.
• Subsequently, we created computational packages implementing these ideas to make them accessible to the researcher interested in working in such areas.