Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Andrzej J. Maciejewski"'
Publikováno v:
Scientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
Abstract The non-relativistic equations of motion for a dipole in a stationary non-homogeneous electromagnetic field are derived and analysed. It is shown that they are Hamiltonian with respect to a certain degenerated Poisson structure. Described by
Externí odkaz:
https://doaj.org/article/7f2b4175d5fa49778c245eb5c6c7e9cb
Publikováno v:
Nonlinear Dynamics. 110:2101-2128
This paper studies the dynamics and integrability of two generalisations of a 3D Swinging Atwood’s Machine with additional Coulomb’s interactions and Hooke’s law of elasticity. The complexity of these systems is presented with the help of Poinc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1969f585a9a5ac71b3a1dee12a0f6878
https://doi.org/10.1007/s11071-022-07680-4
https://doi.org/10.1007/s11071-022-07680-4
Publikováno v:
New Journal of Physics, Vol 22, Iss 10, p 103047 (2020)
A novel design for an electromagnetic trap is proposed for confinement of neutral particles having a permanent electric dipole moment. The device uses a combination of a sextupole electric and quadrupole magnetic fields superimposed with a strong con
Externí odkaz:
https://doaj.org/article/394ad71958d34eeb86bf74e8707b4f61
Publikováno v:
Scientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
Scientific Reports
Scientific Reports
The non-relativistic equations of motion for a dipole in a stationary non-homogeneous electromagnetic field are derived and analysed. It is shown that they are Hamiltonian with respect to a certain degenerated Poisson structure. Described by them dyn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a6b0fcb4867b4916bf661f2f9fdb9cf
https://doaj.org/article/7f2b4175d5fa49778c245eb5c6c7e9cb
https://doaj.org/article/7f2b4175d5fa49778c245eb5c6c7e9cb
Publikováno v:
Nonlinear Dynamics. 106:125-146
We study the integrability of a model of elastic satellite whose centre of mass moves in a circular Keplerian orbit around a gravity centre. The satellite is modelled by two point masses connected by an extensible massless spring that obeys Hooke’s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6b53ae934b9d47b3244984fc7478616
https://doi.org/10.1007/s11071-021-06771-y
https://doi.org/10.1007/s11071-021-06771-y
Publikováno v:
Nonlinear Dynamics. 104:1443-1450
In the paper [1], the author formulates in Theorem 2 necessary conditions for integrability of a certain class of Hamiltonian systems with non-constant Gaussian curvature, which depends on local coordinates. We give a counterexample to show that this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fef85d59587ab270b537eb2f2622aeaf
https://doi.org/10.1007/s11071-021-06325-2
https://doi.org/10.1007/s11071-021-06325-2
Comment on 'Hyperchaos in constrained Hamiltonian system and its control' by J. Li, H. Wu and F. Mei
Publikováno v:
Nonlinear Dynamics. 101:639-654
The aim of this comment is to show that discovery of hyperchaos in three systems investigated in Li et al. (Nonlinear Dyn 94(3):1703–1720, 2018) is not correct. It is justified both theoretically and numerically. Corrected calculations of Lyapunov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c912733d56df28cbed6e8392776e30e0
https://doi.org/10.1007/s11071-020-05726-z
https://doi.org/10.1007/s11071-020-05726-z
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2020, 268 (11), pp.7012-7028. ⟨10.1016/j.jde.2019.11.074⟩
Journal of Differential Equations, Elsevier, 2020, 268 (11), pp.7012-7028. ⟨10.1016/j.jde.2019.11.074⟩
In this paper we consider natural Hamiltonian systems with two degrees of freedom for which Hamiltonian function has the form H = 1 2 ( p 1 2 + p 2 2 ) + V ( q 1 , q 2 ) and potential V ( q 1 , q 2 ) is a rational function. Necessary conditions for t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ec8c6d584192c7164876012fef8efd4
https://doi.org/10.1016/j.jde.2019.11.074
https://doi.org/10.1016/j.jde.2019.11.074
Publikováno v:
Journal of Nonlinear Science. 30:1607-1649
We study the integrability of an eight-parameter family of three-dimensional spherically confined steady Stokes flows introduced by Bajer and Moffatt. This volume-preserving flow was constructed to model the stretch–twist–fold mechanism of the fa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72f79303de5d6ba7ddda68fb131bffe2
https://doi.org/10.1007/s00332-020-09619-8
https://doi.org/10.1007/s00332-020-09619-8
Publikováno v:
Nonlinear Dynamics
Nonlinear Dynamics, Springer Verlag, 2021, ⟨10.1007/s11071-021-07040-8⟩
Nonlinear Dynamics, Springer Verlag, 2021, ⟨10.1007/s11071-021-07040-8⟩
We consider a certain two-parameter generalisation of the planar Hill lunar problem. We prove that for nonzero values of these parameters the system is not integrable in the Liouville sense. For special choices of parameters the system coincides with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50a3f531fd59621067fecd3f37547918
https://hal.archives-ouvertes.fr/hal-03509794
https://hal.archives-ouvertes.fr/hal-03509794
