84 citations · 215 across the 11 of their papers we have counts for
11 papers
Notions of uniform manifolds
Jaap Eldering
We explore a definition of uniformity on noncompact manifolds that does not require a Riemannian metric, but is equivalent to bounded gemetry. These are unfinished research notes (…
Chimera states through invariant manifold theory
Jaap Eldering, Jeroen S. W. Lamb, Tiago Pereira +1
We establish the existence of chimera states, simultaneously supporting synchronous and asynchronous dynamics, in a network consisting of two symmetrically linked star subnetworks…
Global linearization and fiber bundle structure of invariant manifolds
Jaap Eldering, Matthew Kvalheim, Shai Revzen
We study global properties of the global (center-)stable manifold of a normally attracting invariant manifold (NAIM), the special case of a normally hyperbolic invariant manifold (…
Realizing nonholonomic dynamics as limit of friction forces
Jaap Eldering
The classical question whether nonholonomic dynamics is realized as limit of friction forces was first posed by Carathéodory. It is known that, indeed, when friction forces are sca…
Weak dual pairs and jetlet methods for ideal incompressible fluid models in dimensions
C. J. Cotter, J. Eldering, D. D. Holm +2
We review the role of dual pairs in mechanics and use them to derive particle-like solutions to regularized incompressible fluid systems. In our case we have a dual pair resulting…
A distance on curves modulo rigid transformations
Jaap Eldering, Joris Vankerschaver
We propose a geometric method for quantifying the difference between parametrized curves in Euclidean space by introducing a distance function on the space of parametrized curves u…