Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Daniel Offin"'
Autor:
Abdalla Mansur, Muhammad Shoaib, Iharka Szücs-Csillik, Daniel Offin, Jack Brimberg, Hedia Fgaier
Publikováno v:
Mathematics, Vol 12, Iss 19, p 3152 (2024)
This paper investigated the periodic and quasi-periodic orbits in the symmetric collinear four-body problem through a variational approach. We analyze the conditions under which homographic solutions minimize the action functional. We compute the min
Externí odkaz:
https://doaj.org/article/268a46f00fcf4c9f85c4cc88a9937f89
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 17650-17665 (2023)
In this paper, we study the minimizing property for the isosceles trapezoid solutions of the four-body problem. We prove that the minimizers of the action functional restricted to homographic solutions are the Keplerian elliptical solutions, and this
Externí odkaz:
https://doaj.org/article/dfe94ffa8c88470a87ec587d836623e7
Autor:
Yanxia Deng, Daniel Offin
Publikováno v:
Journal of Differential Equations. 314:473-490
We give a necessary and sufficient condition for strong stability of low dimensional Hamiltonian systems, in terms of the iterates of a closed orbit and the Conley-Zehnder index. Applications to Mathieu equation and stable harmonic oscillations for f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c25d0f1228a74ed400098c9b7fe2abfc
https://doi.org/10.1016/j.jde.2022.01.020
https://doi.org/10.1016/j.jde.2022.01.020
Publikováno v:
Qualitative Theory of Dynamical Systems. 20
It was discovered by Gordon (Am J Math 99(5):961–971, 1977) that Keplerian ellipses in the plane are minimizers of the Lagrangian action and spectrally stable as periodic points of the associated Hamiltonian flow. The aim of this note is to give a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cf462774b19433d2b858578d90bbccf
https://doi.org/10.1007/s12346-020-00430-0
https://doi.org/10.1007/s12346-020-00430-0
Classical Sturm non-oscillation and comparison theorems as well as the Sturm theorem on zeros for solutions of second order differential equations have a natural symplectic version, since they describe the rotation of a line in the phase plane of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04c5fe6afde63803f3f02a362d961f7b
http://arxiv.org/abs/2005.08034
http://arxiv.org/abs/2005.08034
Publikováno v:
Qualitative Theory of Dynamical Systems. 16:671-688
We consider the question of stability for the homographic family of rhombus solutions within the four degree of freedom parallelogram four body problem. Our approach to demonstrate spectral instability for the entire parameter ranges of mass ratio an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bc28eb3dd09d8228cef9abb849692d1
https://doi.org/10.1007/s12346-017-0232-5
https://doi.org/10.1007/s12346-017-0232-5
Publikováno v:
Advances in Astronomy, Vol 2020 (2020)
In the current article, we study the kite four-body problems with the goal of identifying global regions in the mass parameter space which admits a corresponding central configuration of the four masses. We consider two different types of symmetrical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb63541910a8534e1e0f870e5302e1ea
Autor:
Pietro-Luciano Buono, Daniel Offin
Publikováno v:
Journal of Geometric Mechanics. 9:439-457
We consider the question of linear stability of a periodic solution \begin{document}$z(t)$\end{document} with finite spatio-temporal symmetry group of a reversible-equivariant Hamiltonian system obtained as a minimizer of the action functional. Our m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c75f9c797163fd3b4bc30ec03b425fd4
https://doi.org/10.3934/jgm.2017017
https://doi.org/10.3934/jgm.2017017
Publikováno v:
Taiwanese J. Math. 21, no. 6 (2017), 1437-1453
In this paper, we study the extension of the minimizing equal mass parallelogram solutions which was derived by Chen in 2001 [2]. Chen's solution was minimizing for one quarter of the period $[0,T]$, where numerical integration had been used in his p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f057764d0c5468a71ed63c3fc7806598
https://projecteuclid.org/euclid.twjm/1508983228
https://projecteuclid.org/euclid.twjm/1508983228
Autor:
Daniel Offin, Kenneth R. Meyer
Publikováno v:
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem ISBN: 9783319536903
This chapter shows how to introduce and exploit a small parameter in order to obtain periodic solutions in some simple Hamiltonian systems. When the small parameter is zero, a periodic solution is obvious, and then by using the implicit function theo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ea499a623d9ba8905c85c59a7516aa9
https://doi.org/10.1007/978-3-319-53691-0_9
https://doi.org/10.1007/978-3-319-53691-0_9