Zobrazeno 1 - 10
of 222
pro vyhledávání: '"37j25"'
Autor:
Roberts, Gareth E.
We study kite central configurations in the Newtonian four-body problem. We present a new proof that there exists a unique convex kite central configuration for a given choice of positive masses and a particular ordering of the bodies. Our proof uses
Externí odkaz:
http://arxiv.org/abs/2411.07867
Autor:
Gelfreich, V., Vieiro, A.
This paper contains a proof of the Nekhoroshev theorem for quasi-integrable symplectic maps. In contrast to the classical methods, our proof is based on the discrete averaging method and does not rely on transformations to normal forms. At the centre
Externí odkaz:
http://arxiv.org/abs/2411.02190
Autor:
Ohsawa, Tomoki
We prove a sufficient condition for nonlinear stability of relative equilibria in the planar $N$-vortex problem. This result builds on our previous work on the Hamiltonian formulation of its relative dynamics as a Lie--Poisson system. The relative dy
Externí odkaz:
http://arxiv.org/abs/2406.12144
We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed. This requires that the Hamiltonian syst
Externí odkaz:
http://arxiv.org/abs/2405.06432
Autor:
Vladimirov, Igor G.
This paper is concerned with a class of multivariable stochastic Hamiltonian systems whose generalised position is related by an ordinary differential equation to the momentum governed by an Ito stochastic differential equation. The latter is driven
Externí odkaz:
http://arxiv.org/abs/2312.09475
Autor:
Simmons, Skyler
We construct a highly-symmetric periodic orbit of six bodies in three dimensions. In this orbit, binary collisions occur at the origin in a regular periodic fashion, rotating between pairs of bodies located on the coordinate axes. Regularization of t
Externí odkaz:
http://arxiv.org/abs/2308.11625
Determining the optimal locations for placing extra observational measurements has practical significance. However, the exact underlying flow field is never known in practice. Significant uncertainty appears when the flow field is inferred from a lim
Externí odkaz:
http://arxiv.org/abs/2307.12779
We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on finite-tim
Externí odkaz:
http://arxiv.org/abs/2306.08914
Autor:
Md. Nur Alam, Md. Azizur Rahman
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100985- (2024)
Time-space fractional nonlinear problems (T-SFNLPs) play a crucial role in the study of nonlinear wave propagation. Time-space nonlinearity is prevalent across various fields of applied science, nonlinear dynamics, mathematical physics, and engineeri
Externí odkaz:
https://doaj.org/article/ccf2fb4747b4497e85e12e42aeb31de3
Autor:
Pinzari, Gabriella
KAM theory owes most of its success to its initial motivation: the application to problems of celestial mechanics. The masterly application was offered by V.I.Arnold in the 60s who worked out a theorem, that he named the Fundamental Theorem (FT), esp
Externí odkaz:
http://arxiv.org/abs/2209.07457