Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Gianluca Gorni"'
Publikováno v:
Dynamics, Vol 4, Iss 3, Pp 499-505 (2024)
Some characteristics of stationary flows of the Sawada–Kotera system lend themselves to generalization, producing a large class of separable Lagrangian systems with two degrees of freedom. All of these systems come in couples that have the same equ
Externí odkaz:
https://doaj.org/article/461d8d2fab904a2aa67d2ad31b6fc4e9
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100262- (2022)
We describe a recipe to generate “nonlocal” constants of motion for ODE Lagrangian systems. As a sample application, we recall a nonlocal constant of motion for dissipative mechanical systems, from which we can deduce global existence and estimat
Externí odkaz:
https://doaj.org/article/f233e470c7a1479ba40cce7bc08ff11f
Publikováno v:
Pharmaceutics, Vol 14, Iss 2, p 265 (2022)
Background: A drug and disease assessment model was used to evaluate the impact of different treatment regimens on intravitreal ranibizumab, bevacizumab, aflibercept, and brolucizumab concentrations and the proportion of free vascular endothelial gro
Externí odkaz:
https://doaj.org/article/187690d5f1e34ae395d468e74e0671ee
Autor:
Gianluca Gorni, Gaetano Zampieri
A simple general theorem is used as a tool that generates nonlocal constants of motion for Lagrangian systems. We review some cases where the constants that we find are useful in the study of the systems: the homogeneous potentials of degree \begin{d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::556d4284b04edf0496c543293a09726a
http://hdl.handle.net/11390/1178604
http://hdl.handle.net/11390/1178604
Publikováno v:
Qualitative Theory of Dynamical Systems
Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2019, 18 (2), pp.371-381. ⟨10.1007/s12346-018-0290-3⟩
Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2019, 18 (2), pp.371-381. ⟨10.1007/s12346-018-0290-3⟩
The Maxwell-Bloch dissipative equations describe laser dynamics. Under a simple condition on the parameters there exist two time dependent first integrals, that allow a nonstandard separation of variables in the equations. That condition has a precis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4fabbe64ac3b6f15611b13cc24e992a
https://doi.org/10.1007/s12346-018-0290-3
https://doi.org/10.1007/s12346-018-0290-3
Autor:
Gaetano Zampieri, Gianluca Gorni
Publikováno v:
São Paulo Journal of Mathematical Sciences. 12:146-169
The Maxwell–Bloch conservative system, which originated in laser optic theory, is a nice, well-known example of a completely integrable mechanical system. Here we show how to separate the system into two subsystems: one with a fish-shaped dynamics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::276a6b79f539443b6f4d3c7c13b150a9
https://doi.org/10.1007/s40863-017-0079-3
https://doi.org/10.1007/s40863-017-0079-3
Autor:
Gianluca Gorni, Gaetano Zampieri
The Killing-like equation and the inverse Noether theorem arise in connection with the search for first integrals of Lagrangian systems. We generalize the theory to include "nonlocal" constants of motion of the form \begin{document} $N_0+∈t N_1\, d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bad7d7d1ded0dd3a523344da9f3869c4
http://hdl.handle.net/11562/973953
http://hdl.handle.net/11562/973953
Autor:
Gianluca Gorni, Gaetano Zampieri
Publikováno v:
Journal of Differential Equations. 246(6):2226-2241
A particle will be said to be in cruise motion if it is nonholonomically constrained to have constant speed. When the particle is placed in a central force field, the resulting mechanical system is known to be integrable. Cruise orbits in a central f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62580829c60c38a298e3bf4eb9907c3a
Autor:
Gaetano Zampieri, Gianluca Gorni
Publikováno v:
Differential Geometry and its Applications. 22:287-296
We introduce the polynomial Hamiltonian H ( q 1 , q 2 , p 1 , p 2 ) : = ( q 2 2 + ( q 1 2 + q 2 2 ) 2 ) p 1 − q 1 q 2 p 2 and we prove that the associated Hamiltonian system is Liouville- C ∞ -integrable, but fails to be real-analytically integra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08c5d6497694b06441569cd49ff3472f
https://doi.org/10.1016/j.difgeo.2005.01.004
https://doi.org/10.1016/j.difgeo.2005.01.004
This is an exposition of some basic ideas in the realm of Global Inverse Function theorems. We address ourselves mainly to readers who are interested in the applications to Differential Equations. But we do not deal with those applications and we giv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d6934b7fa86c447186774cbcec11007
http://arxiv.org/abs/1410.7902
http://arxiv.org/abs/1410.7902