I am currently engaged in utilizing the information dynamics approach to understand airline dynamics. Recently, we investigated the reconstruction of the "functional complex networks", and I have prepared a blog post based on the findings. I encourage you to read the article, which is freely available, along with the blog post. In the forthcoming days, I will share more results as soon as they become available to the public. Besides, I am eager to share with you three projects I have undertaken in the past. Allow me to briefly introduce my three distinct projects, each exploring a unique aspect of complex systems science.
Complex systems, often exhibiting properties like phase transitions, emergent behaviors, synchronization, and non-linear dynamics, necessitate an understanding of information generation, storage, and transfer across subsystems. Traditional techniques like cross-correlation and Granger causality prove inadequate for non-linear interactions, prompting the adoption of Transfer Entropy (TE) and Renyi entropy to capture non-Gaussian and non-linear characteristics. This project employs Renyi Transfer Entropy (RTE) to investigate the dynamics of two coupled non-linear Rössler systems en route to synchronization, demonstrating RTE's efficacy in studying information transfer in non-linearly coupled chaotic systems and its potential applicability in other real-world chaotic systems.
Standard statistical tools, while useful for capturing essential features of a stochastic data series, Probability Density Function (PDF), cannot fully reveal the underlying dynamics of the system. The Langevin Approach, which facilitates the extraction of stochastic evolution equations from sets of measurements, offers a deeper understanding of systems dynamics. In this project, a Python code has been developed to analyze one- and two-dimensional time series and estimate drift and diffusion coefficients that describe the deterministic and stochastic components of the analyzed process. By numerically integrating Langevin processes, the results can be cross-checked, and synthetic data sets can be generated, highlighting the ability of the Langevin evolution equation to uncover complex dynamics even when associated statistics resemble other stochastic processes.
Developed during the "Winter School Evolution of Social Complexity, 2022," this project uses data from the Seshat databank to create computer-generated multidimensional spaces of cultural variables, examining how different polities navigated these "culture spaces" over centuries. Employing large cross-cultural databases and computational modeling approaches, this study aims to expand our understanding of the patterns and processes that shaped human cultural evolution. The work is ongoing.
Non-thermal plasma, characterized by distinct temperatures of charged particles and neutral species, has gained attention due to its unique properties and potential applications. The studies explore different aspects of non-thermal plasma, shedding light on its behavior and possible uses.
Computational Fluid Dynamics (CFD) is a powerful technique for analyzing fluid flow behavior in various contexts, including non-thermal plasma behavior in Atmospheric Pressure Plasma Enhanced Chemical Vapor Deposition (AP-PECVD) processes. By employing CFD simulations, interdisciplinary research can uncover the crucial role of gas flow dynamics in the deposition process, encompassing reactive plasma species, precursor molecules, and their interactions with the substrate surface.