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UID:5223@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20241003T110000
DTEND;TZID=Europe/Paris:20241003T120000
DTSTAMP:20240930T084257Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-136/
SUMMARY:Cristel Chandre (I2M ): Is Nambu mechanics a generalization of Hami
 ltonian mechanics?
DESCRIPTION:Cristel Chandre: In 1973\, Nambu published an article entitled 
 "Generalized Hamiltonian dynamics". For that purpose\, he constructed mult
 ilinear brackets - equivalent to Poisson brackets - with some interesting 
 properties reminiscent of the Jacobi identity. These brackets found some a
 pplications in fluid mechanics\, plasma physics and mathematical physics w
 ith superintegrable systems.\n\nIn this seminar\, I will recall some basic
  elements on Nambu mechanics in finite dimension with an n-linear Nambu br
 acket in dimension larger than n. I will discuss all possible Nambu bracke
 ts and compare them with all possible Poisson brackets. I will conclude th
 at Nambu mechanics can hardly be considered a generalization of Hamiltonia
 n mechanics.\n\nReference: C. Chandre and A. Horikoshi\, Classical Nambu b
 rackets in higher dimensions\, J. Math. Phys. 64\, 052702 (2023)
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
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DTSTART:20240331T030000
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