Relations between nonlinear and linear systems
My main interest is to find relations between nonlinear and linear systems. And how to generalize the knowledge on linear systems to nonlinear systems. This is highly related to the latent structures or variables in data science, which have been lately increasing interest in research. This technique is rooted in different disciplines and applications. For example, dimensionality reduction in fluid dynamics or feedback linearization in control systems are the basis of the design and analysis in these fields. Despite this diversity, these methods are closely akin.