Recurrence and dynamical anomalies in non-linear systems and complex networks

• Grant number: 23/07704-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2023
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Francisco Aparecido Rodrigues
• Grantee: Matheus Palmero Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 24/22136-6 - Dynamical Anomalies in Complex Systems: Application in Climate Science, BE.EP.PD

Abstract

In this research project, we will investigate the presence of anomalies in the dynamical evolution of general complex systems through recurrence analysis. With the aim of identifying behaviours that differ from the common, or regions of complex networks that possess distinct topological properties, we propose a numerical method based on real data or simulations of nonlinear dynamic systems of interest. The method relies on the appropriate choice of recurrence quantifiers that provide suitable analyses for the dynamics under investigation. In this regard, we propose a machine learning-based methodology to improve the selection of quantifiers considering the provided data, automating subsequent investigations. The theory proposed in this study can be adapted to different problems in complex systems, but our focus application is on climate change studies and the identification of extreme events.