Search by keyword: "Jacobi stability"
Jacobi Stability of the Nonlinear Double Pendulum and its Trajectories in the Configuration Space
Authors: Shkapov P.M., Sulimov V.D., Danich M.A. | Published: 02.09.2024 |
Published in issue: #4(115)/2024 | |
DOI: | |
Category: Mathematics and Mechanics | Chapter: Theoretical Mechanics, Machine Dynamics | |
Keywords: dynamical system, Jacobi stability, Kosambi --- Cartan --- Chern theory, geometric invariant, nonlinear double pendulum, configuration space, global chaos |
Computational Diagnostics of Jacobi Unstable Dynamical Systems with the Use of Hybrid Algorithms of Global Optimization
Authors: Shkapov P.M., Sulimov A.V., Sulimov V.D. | Published: 26.08.2021 |
Published in issue: #4(97)/2021 | |
DOI: 10.18698/1812-3368-2021-4-40-56 | |
Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
Keywords: dynamical system, control, Jacobi stability, geometrical invariant, computational diagnostics, global optimization, hybrid algorithm |