Motion stability study of double and ball pendulums
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Pendulum, stability, motion, spherical and Lyapunov’s theory.Abstract
This research examines the stability of periodic motion for a physics application, which results in a second order differential equation for systems, such as the double and spherical pendulums. The stability of the equilibrium modes is analysed using the Libanov and Getayer methods, along with the principle of energy conservation. Moreover, this study describes the periodic motion and explains
the phase-level solution paths and the stability conditions for the double and spherical pendulums by using the MATLAB program.
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