Zobrazeno 1 - 10
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pro vyhledávání: '"Eldering, Jaap"'
Autor:
Eldering, Jaap
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 (and will likely never be published), but since they were cited by othe
Externí odkaz:
http://arxiv.org/abs/2407.16869
We establish the existence of chimera states, simultaneously supporting synchronous and asynchronous dynamics, in a network consisting of two symmetrically linked star subnetworks consisting of identical oscillators with shear and Kuramoto--Sakaguchi
Externí odkaz:
http://arxiv.org/abs/2102.04445
Publikováno v:
Nonlinearity 31.9 (2018) pp. 4202--4245
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 (NHIM) with empty unstable bundle. We restrict our attention to continu
Externí odkaz:
http://arxiv.org/abs/1711.03646
Autor:
Eldering, Jaap
Publikováno v:
Regular & Chaotic Dynamics 21-4 (2016) pp. 390--409
The classical question whether nonholonomic dynamics is realized as limit of friction forces was first posed by Carath\'eodory. It is known that, indeed, when friction forces are scaled to infinity, then nonholonomic dynamics is obtained as a singula
Externí odkaz:
http://arxiv.org/abs/1603.00369
Autor:
Eldering, Jaap, Vankerschaver, Joris
Publikováno v:
Differential Geom. Appl. 36 (2014) pp. 149--164
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 up to rigid transformations (rotations and translations). Given two cur
Externí odkaz:
http://arxiv.org/abs/1401.4910
Publikováno v:
Nonlinearity 27 (2014) pp. 501--525
We study synchronisation properties of networks of coupled dynamical systems with interaction akin to diffusion. We assume that the isolated node dynamics possesses a forward invariant set on which it has a bounded Jacobian, then we characterise a cl
Externí odkaz:
http://arxiv.org/abs/1304.7679
Autor:
Eldering, Jaap, Jacobs, Henry O.
Publikováno v:
SIAM J. Applied Dynamical Systems 15 (2016) pp. 24--59
In this paper we illustrate the potential role which relative limit cycles may play in biolocomotion. We do this by describing, in great detail, an elementary example of reduction of a lightly dissipative system modeling crawling-type locomotion in 3
Externí odkaz:
http://arxiv.org/abs/1212.1978
Autor:
Eldering, Jaap
Publikováno v:
C. R. Math. Acad. Sci. Paris 350 (2012), pp. 617-620
We prove a persistence result for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. The bounded geometry of the ambient manifold is a crucial assumption in order to control the uniformity of all estimates
Externí odkaz:
http://arxiv.org/abs/1205.2753
Autor:
Eldering, Jaap
In this Master thesis we consider 't Hooft's polygon model for 2+1D gravity. After a detailed review of the polygon model in the classical context, we discuss problems associated with its quantization and calculate the explicitly the full Poisson str
Externí odkaz:
http://arxiv.org/abs/gr-qc/0606132