The N-link pendulum: Embedding nonlinear dynamics into the multidimensional scaling method
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 o...
| Autor principal: | |
|---|---|
| Outros Autores: | |
| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2015
|
| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10400.22/8789 |
| País: | Portugal |
| Oai: | oai:recipp.ipp.pt:10400.22/8789 |
| Resumo: | 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. |
|---|