2 citations · 2 across the 4 of their papers we have counts for
6 papers
Integrable curl-force Hamiltonians: bi-Hamiltonian structure, separability, and periodic orbits
Alexander Felski, Andreas Fring
We investigate Hamiltonian curl-force systems with indefinite kinetic energy. We first reconsider Berry's polynomial Hamiltonian curl-force model, whose numerically observed closed…
Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model
Alexander Felski, Andreas Fring, Bethan Turner
We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory, by identifying the Lie symmetries of its associated fourth-order dynamical…
Spectral Riemann Sheet Topology of Gapped Non-Hermitian Systems
Anton Montag, Alexander Felski, Flore K. Kunst
We show topological configurations of the complex-valued spectra in gapped non-Hermitian systems. These arise when the distinctive EPs in the energy Riemann sheets of such models a…
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…
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…
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…