4 papers
Using "AI Poincare" to analyze non-linear integrable optics
Lazare Osmanov, Nilanjan Banerjee
This study dives into the applicability of using automated discovery of conserved quantities in dynamical systems relevant to accelerator physics. Specifically, we explore the perf…
Statistical and Mathematical Evidence of Rigged Parliamentary Elections in Georgia, 2024
Lazare Osmanov, Levan Ghaghanidze, Saba Sigua +2
The official data provided by "Central Election Commission" was analyzed, revealing irregularities that raised reasonable suspicion of election manipulation by the winning ``Georgi…
Deciphering Complexity: Machine Learning Insights into Chaotic Dynamical Systems
Lazare Osmanov
We introduce new machine-learning techniques for analyzing chaotic dynamical systems. The primary objectives of the study include the development of a new and simple method for cal…
Regular and Chaotic Motion of Two Bodies Swinging on a Rod
Lazare Osmanov, Khomeriki Ramaz
We investigate regular and chaotic dynamics of Two Bodies Swinging on a Rod, which differs from all the other mechanical analogies: depending on initial conditions, its oscillation…