The N-link pendulum: Embedding nonlinear dynamics into the multidimensional scaling method

Machado, J. A. Tenreiro; Lopes, António M.

http://hdl.handle.net/10400.22/8789

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Authors

Machado, J. A. Tenreiro

Lopes, António M.

Abstract(s)

This paper explores the use of multidimensional scaling for analyzing the dynamics of the N-link planar pendulum. Several integer- and fractional-order pendular systems are studied based on the time response and energy of the links. The dynamics get increasingly complex and chaotic with the number of degrees-of-freedom. The numerical experiments demonstrate the feasibility of the proposed methodology in analyzing the data and motivate its extension for other performance measures and dynamical systems.