3 papers
math.NT2026
On efficient approximation of quadratic irrationals
Peter H. van der Kamp, Anthony Overmars, Marcel Jackson +1
We provide efficient algorithms to compute convergents of quadratic irrationals. We show that for square roots, in settings where Galois' refinement of Lagrange's theorem holds, ce…
nlin.SI2026
Liouville integrable Lotka-Volterra systems
Peter H. van der Kamp, David I. McLaren, G. R. W. Quispel
We present homogeneous -parameter families of Liouville integrable - and -dimensional Lotka-Volt…
nlin.SI2026
Subalgebras of integrals, commutants, and superintegrable deformations of Lotka-Volterra systems
Ian Marquette, Peter H. van der Kamp, G. R. W. Quispel
We consider the Lie-algebraic notion of commutant in the setting of Poisson algebra. This provides a framework for deforming Hamiltonian differential equations. By taking a subalge…