53 citations · 317 across the 37 of their papers we have counts for
39 papers
zbMATH Open: API Solutions and Research Challenges
Matteo Petrera, Dennis Trautwein, Isabel Beckenbach +5
We present zbMATH Open, the most comprehensive collection of reviews and bibliographic metadata of scholarly literature in mathematics. Besides our website https://zbMATH.org which…
Manin involutions for elliptic pencils and discrete integrable systems
Matteo Petrera, Yuri B. Suris, Kangning Wei +1
We contribute to the algebraic-geometric study of discrete integrable systems generated by planar birational maps: (a) we find geometric description of Manin involutions for ellipt…
How one can repair non-integrable Kahan discretizations
Matteo Petrera, Yuri B. Suris, René Zander
Kahan discretization is applicable to any system of ordinary differential equations on with a quadratic vector field, , and produces a biratio…
Discretized Fast-Slow Systems with Canards in Two Dimensions
Maximilian Engel, Christian Kuehn, Matteo Petrera +1
We study the problem of preservation of maximal canards for time discretized fast-slow systems with canard fold points. In order to ensure such preservation, certain favorable stru…
Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs
Matteo Petrera, Mats Vermeeren
We investigate the relation between pluri-Lagrangian hierarchies of -dimensional partial differential equations and their variational symmetries. The aim is to generalize to the…
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II. Systems with a linear Poisson tensor
Matteo Petrera, Yuri B. Suris
Kahan discretization is applicable to any quadratic vector field and produces a birational map which approximates the shift along the phase flow. For a planar quadratic Hamiltonian…