Event calendar file
19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Darboux polynomials
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date:
22 Jun 16:30 - 18:20
Timetable | Contribution List
Displaying 4
contributions
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4
Session:
Darboux polynomials
Celledoni et al [1,2] have illustrated the power of using so-called Darboux polynomials to search for preserved integrals and measures of a rational map L (including a map arising as a Kahan-Hirota-Kimura discretisation of a (Hamiltonian) ODE). For instance, integrals are obtained as the ratio of two Darboux polynomials where each Darboux polynomial satisfies an equation of the form P(x') = C(x)
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Presented by Prof. John ROBERTS
on
22/06/2023
at
15:00
Session:
Darboux polynomials
We will discuss (mainly linear) Darboux polynomials for ODEs and for difference equations, and show their relation to the preservation of measures and first integrals, and in the construction of integrable systems.
Presented by Prof. Reinout QUISPEL
on
22/06/2023
at
14:30
Session:
Darboux polynomials
The motivation of our research is to find structure preserving discretizations of dynamical systems by developing some ideas related to the method of discrete gradients [1].
First, we recall that the discrete gradient method can be improved in two different ways without losing the energy conservation property, either by increasing its order [2], or by so-called locally exact discretizations that
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Presented by Jan CIEśLIńSKI
on
22/06/2023
at
16:00
Session:
Darboux polynomials
The Kahan discretization of a Lotka-Volterra system leads to a rational map parametrized 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 Lotka-Volterra systems having the Kahan-Poisson property. Their underlying graph has n vertices 1, 2, .
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Presented by Dr. Charalampos EVRIPIDOU
on
22/06/2023
at
15:30
