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

J. A. Tenreiro Machado and António M. Lopes

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 130-138

Abstract: 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.

Keywords: N-link pendulum; Dynamical systems; Fractional calculus; Multidimensional scaling; Clustering (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:130-138

DOI: 10.1016/j.chaos.2015.10.013

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