19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Singularity analysis
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date:
22 Jun 09:15 - 10:45
Timetable | Contribution List
Displaying 3
contributions
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3
Session:
Singularity analysis
Since its introduction, the method of full deautonomisation by singularity confinement has proved a strikingly effective way of detecting the dynamical degrees of birational mappings of the plane.
This method is based on a conjectured link between two a priori unrelated notions: firstly the dynamical degree of the mapping and secondly the evolution of parameters required for its singularity struc
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Presented by Dr. Alexander STOKES
on
22/06/2023
at
07:45
Session:
Singularity analysis
We discuss singularity analysis and bilinear integrability of four
Bogoyavlensky differential-difference equations. Three of them are
completely integrable and the fourth is, to our knowledge, a new one.
Blending the singularity confinement with Painlevé property reveals
strictly confining and anticonfining (weakly confining) singularity pat-
terns. The strictly confining patterns are useful
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Presented by Dr. Adrian Stefan CARSTEA
on
22/06/2023
at
08:15
Session:
Singularity analysis
Although the notion of singularity confinement was first introduced for the discrete KdV (dKdV) equation, as of yet there is still no rigorous definition of the notion of `confinement' for lattice equations. In fact, somewhat ironically, it has taken nearly 30 years before an exhaustive study of the singularities of the dKdV equation finally revealed their intriguing properties and the full richne
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Presented by Prof. Ralph WILLOX
on
22/06/2023
at
07:15