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...
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| Format: | article |
| Language: | eng |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/10400.22/8789 |
| Country: | Portugal |
| Oai: | oai:recipp.ipp.pt:10400.22/8789 |
| Summary: | 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. |
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