Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Holger Waalkens"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-17 (2024)
Abstract Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related
Externí odkaz:
https://doaj.org/article/9e1f42df6a314907bad8e7b6cef4d2d8
Autor:
Eric J. Pap, Holger Waalkens
Publikováno v:
Mathematics, Vol 12, Iss 13, p 2135 (2024)
We study fiber bundles where the fibers are not a group G but a free G-space with disjoint orbits. The fibers are then not torsors but disjoint unions of these; hence, we like to call them semi-torsors. Bundles of semi-torsors naturally generalize pr
Externí odkaz:
https://doaj.org/article/ddd743cc557642c9a71aadbb4786903a
Autor:
Vladimír Krajňák, Holger Waalkens
Publikováno v:
Journal of Mathematical Chemistry, 58(1), 292-339. SPRINGER
Krajňák, V & Waalkens, H 2020, ' Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction ', Journal of Mathematical Chemistry, pp. 1-48 . https://doi.org/10.1007/s10910-019-01083-4
Krajňák, V & Waalkens, H 2020, ' Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction ', Journal of Mathematical Chemistry, pp. 1-48 . https://doi.org/10.1007/s10910-019-01083-4
The collinear hydrogen exchange reaction is a paradigm system for understanding chemical reactions. It is the simplest imaginable atomic system with 2 degrees of freedom modeling a chemical reaction, yet it exhibits behaviour that is still not well u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a499dea84ee04689d3d3678fe6aac1ee
https://doi.org/10.1007/s10910-019-01083-4
https://doi.org/10.1007/s10910-019-01083-4
Publikováno v:
Indagationes Mathematicae. 30:165-196
This is the first in a series of three papers where we study the integral manifolds of the charged three-body problem. The integral manifolds are the fibers of the map of integrals. Their topological type may change at critical values of the map of i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49842276aa059f9faa9aa4d57fef4e99
https://doi.org/10.1016/j.indag.2018.09.006
https://doi.org/10.1016/j.indag.2018.09.006
Publikováno v:
Ima journal of mathematical control and information, 37(2), 377-394
Investigating the possibility of applying techniques from linear systems theory to the setting of non-linear systems has been the focus of many papers. The pseudo-linear (PL) form representation of non-linear dynamical systems has led to the concept
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a53ef6e8e3cad240b1c88e35c5cf0a6
https://research.rug.nl/en/publications/b2cce140-7685-46e1-8278-faa433a1f871
https://research.rug.nl/en/publications/b2cce140-7685-46e1-8278-faa433a1f871
Publikováno v:
Physical Review E, 100(1):012201. AMER PHYSICAL SOC
We investigate here how the optical properties at low frequencies affect the actuation dynamics and emerging chaotic behavior in a double-beam torsion actuator at nanoscale separations (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2063862d4856f788f1d2405ac6b5651e
https://doi.org/10.1103/physreve.100.012201
https://doi.org/10.1103/physreve.100.012201
Publikováno v:
Journal of Mathematical Physics, 60(3):032103. AMER INST PHYSICS
The isotropic harmonic oscillator in dimension 3 separates in several different coordinate systems. Separating in a particular coordinate system defines a system of three Poisson commuting integrals and, correspondingly, three commuting operators, on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48524a31d18b2b30e332e74cf938c40a
https://doi.org/10.1063/1.5053887
https://doi.org/10.1063/1.5053887
Comment on ’Winding around non-Hermitian singularities’ by Zhong et al., Nat. Commun. 9, 4808 (2018)
Publikováno v:
ArXiv, 1808.08908. Cornell University Press
University of Groningen
University of Groningen
In a recent paper entitled "Winding around non-Hermitian singularities" by Zhong et al., published in Nat. Commun. 9, 4808 (2018), a formalism is proposed for calculating the permutations of eigenstates that arise upon encircling (multiple) exception
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7310c76cadb5bdf2570619fdc8e48af3
https://research.rug.nl/en/publications/c982cf56-d15e-4a6a-af9b-7b24c5d221c5
https://research.rug.nl/en/publications/c982cf56-d15e-4a6a-af9b-7b24c5d221c5
Autor:
Holger Waalkens, Nikolay Martynchuk
Publikováno v:
Regular & chaotic dynamics, 21(6), 697-706. MAIK NAUKA/INTERPERIODICA/SPRINGER
We consider Hamiltonian systems on (T*ℝ2, dq ∧ dp) defined by a Hamiltonian function H of the “classical” form H = p2/2 + V(q). A reasonable decay assumption V(q) → 0, ‖q‖ → ∞, allows one to compare a given distribution of initial c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67374d90532f13b7edaf6ea38b4a8167
https://doi.org/10.1134/s1560354716060095
https://doi.org/10.1134/s1560354716060095
Autor:
Holger Waalkens, Christof Jung
Publikováno v:
International Journal of Bifurcation and Chaos, 30(08):2030022. World Scientific Publishing
The ionization of hydrogen in a circularly polarized electric field consists of the electron escaping over a rotating Stark saddle. The escape is mediated by the stable and unstable manifolds of a normally hyperbolic invariant manifold associated wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33ef206a761a0061d577ed3f7ab03469
https://doi.org/10.1142/s0218127420300220
https://doi.org/10.1142/s0218127420300220