Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Jaap Eldering"'
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b258bc3304c2595670641faa15c8f5d5
Publikováno v:
Journal of Nonlinear Science. 26:1723-1765
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 from the action of diffeomorphisms on point particles (essentially by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::675d5f598f81a9804577a08034e7b343
https://doi.org/10.1007/s00332-016-9317-6
https://doi.org/10.1007/s00332-016-9317-6
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ba4b05b88bdf840d5095cef643371ce
http://arxiv.org/abs/1711.03646
http://arxiv.org/abs/1711.03646
Autor:
Jaap Eldering
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81ec5fd741a973b181b57aff8632a80f
Autor:
Jaap Eldering
This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems.First, normally hyperbolic invariant manifolds and their relation
Autor:
Joris Vankerschaver, Jaap Eldering
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97ee8189c73ec2b8908689ce476d6a4a
Autor:
Jaap Eldering
Publikováno v:
Normally Hyperbolic Invariant Manifolds ISBN: 9789462390027
In this chapter we discuss some ways to extend the main theorem to slightly more general situations, such as non-autonomous systems, overflowing invariant manifolds, and smooth parameter dependence. These extensions are known from the compact and Euc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::020c5b7639245bf92e384400a33a8fcd
https://doi.org/10.2991/978-94-6239-003-4_4
https://doi.org/10.2991/978-94-6239-003-4_4
Autor:
Jaap Eldering
Publikováno v:
Normally Hyperbolic Invariant Manifolds ISBN: 9789462390027
This chapter contains the main proof of persistence of noncompact normally hyperbolic invariant manifolds. We first state both the trivial bundle and general version of the main theorem and discuss these in full detail. We include a precise compariso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb2e898ab22daf75e5f7e54dcc2e0012
https://doi.org/10.2991/978-94-6239-003-4_3
https://doi.org/10.2991/978-94-6239-003-4_3
Autor:
Jaap Eldering
Publikováno v:
Normally Hyperbolic Invariant Manifolds ISBN: 9789462390027
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04f7f4b3eb1ff75413814b4744280081
https://doi.org/10.2991/978-94-6239-003-4_1
https://doi.org/10.2991/978-94-6239-003-4_1
Autor:
Jaap Eldering
Publikováno v:
Normally Hyperbolic Invariant Manifolds ISBN: 9789462390027
This chapter treats Riemannian manifolds of bounded geometry. We use bounded geometry to extend uniformity assumptions that were implicit in the compact case to a noncompact setting. We redevelop various technical tools in the context of bounded geom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3e5efb26c833c7537f39eecad1bd458
https://doi.org/10.2991/978-94-6239-003-4_2
https://doi.org/10.2991/978-94-6239-003-4_2