http://www.cnr.it/ontology/cnr/individuo/prodotto/ID302741
Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Burgers hierarchy (Articolo in rivista)
- Type
- Label
- Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Burgers hierarchy (Articolo in rivista) (literal)
- Anno
- 2009-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1088/1751-8113/42/47/475202 (literal)
- Alternative label
Bruschi M.; Calogero F.; Droghei R. (2009)
Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Burgers hierarchy
in Journal of physics. A, Mathematical and theoretical (Online)
(literal)
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- Bruschi M.; Calogero F.; Droghei R. (literal)
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- Note
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- Dipartimento di Fisica, Università di Roma la Sapienza, 00185 Roma, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy; Dipartimento di Fisica, Università Roma Tre, Italy (literal)
- Titolo
- Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Burgers hierarchy (literal)
- Abstract
- An isochronous system is introduced by modifying the Nth ODE of the stationary Burgers hierarchy, and then, by investigating its behaviour near its equilibria, neat Diophantine relations are identified, involving (well-known) polynomials of arbitrary degree having integer zeros, or equivalently matrices the determinants of which yield such polynomials. The basic idea to arrive at such relations is not new, but the specific application reported in this paper is new, and it is likely to open the way to several analogous new findings. © 2009 IOP Publishing Ltd. (literal)
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