Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy (Articolo in rivista)

Type

• Articolo in rivista (Classe)
• Prodotto della ricerca (Classe)

Label

• Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy (Articolo in rivista) (literal)

Anno

• 2009-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1063/1.3267067 (literal)

Alternative label

• Bruschi M.; Calogero F.; Droghei R. (2009)
  Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy
  in Journal of mathematical physics
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Bruschi M.; Calogero F.; Droghei R. (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

• http://www.scopus.com/inward/record.url?eid=2-s2.0-72449137854&partnerID=q2rCbXpz (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 50 (literal)

Rivista

• Journal of mathematical physics (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 12 (literal)

Note

• Scopu (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Dipartimento di Fisica, Universit? di Roma la Sapienza, 00185 Roma, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy; Dipartimento di Fisica, Universit? Roma Tre, Italy (literal)

Titolo

• Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy (literal)

Abstract

• The isochronous variant is exhibited of the dynamical system corresponding to the Mth ordinary differential equation of the stationary Korteweg-de Vries (KdV) hierarchy. New Diophantine relations are thereby obtained, in the guise of matrices of arbitrary order having integer eigenvalues or equivalently of polynomials of arbitrary degree having integer zeros. Generalizations of these formulas to relations among rational functions are also obtained. 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 American Institute of Physics. (literal)

Prodotto di

• Institute of atmospheric sciences and climate (ISAC) (Istituto)
• Osservazioni del mare da satellite e sviluppo di sistemi per l'uso sostenibile delle risorse marine (TA.P06.020.001) (Modulo)

Incoming links:

Prodotto

• Institute of atmospheric sciences and climate (ISAC) (Istituto)
• Osservazioni del mare da satellite e sviluppo di sistemi per l'uso sostenibile delle risorse marine (TA.P06.020.001) (Modulo)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Journal of mathematical physics (Rivista)

Autore CNR di

• http://www.cnr.it/ontology/cnr/individuo/unitaDiPersonaleEsterno/ID23649