Results 51 to 60 of about 28,061 (167)

Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model

Entropy, 2020
In this work, we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator
Luis Medina-Dozal, Irán Ramos-Prieto, José Récamier   +2 more
doaj   +1 more source

The persistence of elliptic lower dimensional tori with prescribed frequency for Hamiltonian systems

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we consider the persistence of lower dimensional tori of a class of analytic perturbed hamiltonian system, $$H=\langle \omega(\xi), I \rangle +\frac12 \Omega_0(u^2+v^2)+P(\theta,I,z,\bar{z};\xi)$$ and prove that if frequencies $(\omega_0 ...
Xuezhu Lu, Junxiang Xu, Yuedong Kong
doaj   +1 more source

Elbert-type comparison theorems for a class of nonlinear Hamiltonian systems

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Picone-type identities are established for a pair of solutions $(x,y)$ and $(X,Y)$ of the respective systems of the form \begin{equation} x' = r(t)x + p(t)\varphi_{1/\alpha} (y), \qquad y' = - q(t)\varphi_\alpha (x) - r(t)y, \tag{1.1} \end{equation ...
Jaroslav Jaroš, Takaŝi Kusano
doaj   +1 more source

Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
Topic of the paper. Bounded stationary (i.e. independent in time) spatially one-dimensional solutions of a quasilinear parabolic PDE are studied on the whole real line.
Kulagin, Nikolaj Evgenevich, Lerman, Lev Mikhailovich   +1 more
doaj   +1 more source

Quantization of Hamiltonian and non-Hamiltonian systems

Communications in Analysis and Mechanics, 2023
<abstract> <p>The quantization process was always tightly connected to the Hamiltonian formulation of classical mechanics. For non-Hamiltonian systems, traditional quantization algorithms turn out to be unsuitable. Numerous attempts to quantize non-Hamiltonian systems have shown that this problem is nontrivial and requires the development ...
openaire   +2 more sources

Structural schemes for hamiltonian systems

CoRR
35 pages, 7 ...
Clain, Stéphane, Franck, Emmanuel, Michel-Dansac, Victor   +2 more
openaire   +3 more sources

On the Reducibility of Quasiperiodic Linear Hamiltonian Systems and Its Applications in Schrödinger Equation

Journal of Function Spaces, 2020
In this paper, we consider the reducibility of the quasiperiodic linear Hamiltonian system ẋ=A+εQt, where A is a constant matrix with possible multiple eigenvalues, Qt is analytic quasiperiodic with respect to t, and ε is a small parameter.
Nina Xue, Wencai Zhao
doaj   +1 more source

Maslov index of Hamiltonian systems

Electronic Journal of Differential Equations, 2004
10 pages.
openaire   +5 more sources

Infinitely many solutions for Hamiltonian system with critical growth

Advances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
doaj   +1 more source

The Symmetries of Equivalent Lagrangian Systems and Constants of Motion [PDF]

Journal of Sciences, Islamic Republic of Iran, 2011
In this paper Mathematical structure of time-dependent Lagrangian systems and their symmetries are extended and the explicit relation between constants of motion and infinitesimal symmetries of time-dependent Lagrangian systems are considered.
N. Elyasi
doaj