👉 The author delves into the intricate mathematical underpinnings of their work, emphasizing the role of differential geometry and Lie groups in modeling complex dynamical systems. They describe how these mathematical tools allow for the precise description of symmetries and transformations within physical systems, enabling a deeper understanding of their behavior. The author also discusses the application of algebraic structures, particularly Lie algebras, to analyze the stability and bifurcations of these systems. By leveraging these advanced mathematical frameworks, the author provides a rigorous and elegant explanation of the underlying principles governing the phenomena being studied, bridging abstract theory with practical insights.
