3 papers
nlin.SI2026
Conformal bi-Hamiltonian structure and integrability of an interacting Pais-Uhlenbeck oscillator
Alexander Felski, Andreas Fring
We investigate an interacting Pais-Uhlenbeck oscillator with a Landau-Ginzburg type interaction term and analyse its classical dynamics from a geometric and numerical point of view…
math-ph2025
Three-dimensional ghost-free representations of the Pais-Uhlenbeck model from Tri-Hamiltonians
Alexander Felski, Andreas Fring, Bethan Turner
We present a detailed analysis of the sixth-order Pais-Uhlenbeck oscillator and construct three-dimensional ghost-free representations through a Tri-Hamiltonian framework. We ident…
physics.bio-ph2024
Exceptional Points and Stability in Nonlinear Models of Population Dynamics having symmetry
Alexander Felski, Flore K. Kunst
Nonlinearity and non-Hermiticity, for example due to environmental gain-loss processes, are a common occurrence throughout numerous areas of science and lie at the root of many rem…