Abstract
In this article, nonlinear dynamics of pendulum systems is studied. The system of governing differential equations is derived using the Euler–Lagrangian approach. The recurrence plot method has been used for the nonlinear dynamics analysis. The natural frequency of a lumped pendulum system is smaller than the natural frequency corresponding to the distributed system. It is also observed that the bottom pendulum is the most chaotic than the middle and the top pendulums. It is also shown that a triple pendulum system with distributed mass is more chaotic than corresponding to the lumped system.
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Gupta, M.K., Sharma, P., Mondal, A. et al. Visual Recurrence Analysis of Chaotic and Regular Motion of a Multiple Pendulum System. Arab J Sci Eng 42, 2711–2716 (2017). https://doi.org/10.1007/s13369-016-2342-9
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DOI: https://doi.org/10.1007/s13369-016-2342-9