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

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Tenreiro Machado, JAT (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Chaos, Solitons & Fractals

Vol. 89

Pages: 130-138

ISSN: 0960-0779

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00K-VBB

DOI: 10.1016/j.chaos.2015.10.013

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9