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http://hdl.handle.net/10773/11912| Title: | Time scale differential, integral, and variational embeddings of Lagrangian systems |
| Author: | Cresson, J. Malinowska, A. B. Torres, D. F. M. |
| Keywords: | Coherence Difference Euler-Lagrange equations Discrete calculus of variations Embedding Least-action principle Arbitrary time Calculus of variations Embeddings Euler-Lagrange equations Lagrangian system Time-scales Coherent light Equations of motion Solar cell arrays |
| Issue Date: | 2012 |
| Publisher: | Elsevier |
| Abstract: | We introduce differential, integral, and variational delta embeddings. We prove that the integral delta embedding of the Euler-Lagrange equations and the variational delta embedding coincide on an arbitrary time scale. In particular, a new coherent embedding for the discrete calculus of variations that is compatible with the least-action principle is obtained. © 2012 Elsevier Ltd. All rights reserved. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/11912 |
| DOI: | 10.1016/j.camwa.2012.03.003 |
| ISSN: | 0898-1221 |
| Appears in Collections: | CIDMA - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [228]cresson_malinowska_torres.pdf | 223.59 kB | Adobe PDF |  |
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