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SUMMARY:Kahan-Poisson Maps
DTSTART;VALUE=DATE-TIME:20230622T153000Z
DTEND;VALUE=DATE-TIME:20230622T160000Z
DTSTAMP;VALUE=DATE-TIME:20241007T122348Z
UID:indico-contribution-52@cern.ch
DESCRIPTION:Speakers: Dr. EVRIPIDOU\, Charalampos (Special Scientist)\nThe
Kahan discretization of a Lotka-Volterra system leads to a rational map p
arametrized by the step size. When this map is Poisson with respect to the
quadratic Poisson structure of the Lotka-Volterra system we say that this
system has the Kahan-Poisson property. There is a well known family of Lo
tka-Volterra systems having the Kahan-Poisson property. Their underlying g
raph has n vertices 1\, 2\, ...\, n and an arc from i to j precicely when
i less than j. We prove that\, modulo permutation of the variables and clo
nings\, these are the only Lotka-Volterra systems having the Kahan-Poisson
property.\n\nhttp://indico.fuw.edu.pl/contributionDisplay.py?contribId=52
&sessionId=10&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=52&sessionId
=10&confId=67
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