2024/02/19 by Lazare Osmanov, Osmanov, Lazare, Khomeriki Ramaz +1
Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Classical Physics (physics.class-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Vibration and Dynamic Analysis
paper · pdf · doi:10.48550/arxiv.2402.12511
openalex publication_date 2024/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 could end very quickly and the reason is not a drag force or energy loss. We use various tools to analyze motion, such as Poincaré section for quasi-periodic and chaotic cases. We calculate Lyapunov characteristic exponent by different methods including Finite Time Lyapunov Exponent analysis. Our calculations show that the maximal Lyapunov exponent is always positive except in the marginal cases when one observes quasi-periodic oscillations.