Zobrazeno 1 - 10
of 127
pro vyhledávání: '"70h14"'
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
In this paper, we consider the elliptic relative equilibria of the restricted $N$-body problems, where the $N-1$ primaries form an Euler-Moulton collinear central configuration or a $(1+n)$-gon central configuration. We obtain the symplectic reductio
Externí odkaz:
http://arxiv.org/abs/2310.00286
Autor:
Cheng, Xuhua, Liu, Baoting
In this paper, we study the stability of symmetric periodic solutions of the comb-drive finger actuator model. First, on the basis of the relationship between the potential and the period as a function of the energy, we derive the properties of the p
Externí odkaz:
http://arxiv.org/abs/2306.10349
Classical energy-momentum methods study the existence and stability properties of solutions of $t$-dependent Hamilton equations on symplectic manifolds whose evolution is given by their Hamiltonian Lie symmetries. The points of such solutions are cal
Externí odkaz:
http://arxiv.org/abs/2302.05827
Autor:
Liu, Bowen, Zhou, Qinglong
In this paper, we consider the elliptic relative equilibria of the restricted $4$-body problems, where the three primaries form an Euler collinear configuration and the four bodies span $\mathbf{R}^2$. We obtain the symplectic reduction to the genera
Externí odkaz:
http://arxiv.org/abs/2205.10514
Autor:
Tot, Jonathan, Lewis, Robert H.
The double pendulum, a simple system of classical mechanics, is widely studied as an example of, and testbed for, chaotic dynamics. In 2016, Maiti et al. studied a generalization of the simple double pendulum with equal point-masses at equal lengths,
Externí odkaz:
http://arxiv.org/abs/2204.12437
In this work, we study a mathematical planar pendulum whose support point is positioned equidistant between two vertical and uniformly electrically charged wires. Its bob carries an electric charge and, its support point oscillates vertically, follow
Externí odkaz:
http://arxiv.org/abs/2112.01679
Autor:
Guha, Partha, Garai, Sudip
In this present communication the relativistic formulation of the curl forces with saddle potentials has been performed. In particular, we formulated the relativistic version of the Kapitza equation. The dynamics and trapping phenomena of this equati
Externí odkaz:
http://arxiv.org/abs/2110.09853
Autor:
de Lucas, J., Zawora, B. M.
We devise a generalisation of the energy momentum-method for studying the stability of non-autonomous Hamiltonian systems with a Lie group of Hamiltonian symmetries. A generalisation of the relative equilibrium point notion to a non-autonomous realm
Externí odkaz:
http://arxiv.org/abs/2009.08199