Claus Kahlert

TL;DR: An extension of the well-known canonical representation for continuous piecewise-linear functions is introduced in this article, which is capable of describing all piecewise linear functions in two dimensions, being no longer subject to any restrictions.

TL;DR: In this article, continuous piecewise-linear functions from R/sup n/ to r/sup m/ are analyzed in terms of the dimensions of their domain space and of degenerate kth-order intersections of region boundaries.

TL;DR: A genome-wide association study meta-analysis of up to 125,584 cases and over 2.5 million control individuals across 60 studies from 25 countries reveals compelling insights regarding disease susceptibility and severity.

TL;DR: In this paper, the authors apply Poincare half-maps to the three-region piecewise-linear continuous dynamical system associated with Chua's circuit and derive transfer and return maps, induced by the trajectories inside the intermediate region in state space.

TL;DR: The behavior of transfer and return maps in the intermediate region of Chua's circuit and related systems undergoes a number of changes as the symmetry of the dynamics is broken, i.e., the separating planes are moved away from symmetric positions as discussed by the authors.