Results 41 to 50 of about 37,717 (312)
Topological Invariant of Integrable Hamiltonian System on Cone Located in a Potential Field
The theory of topological classification of integrable Hamiltonian systems with two degrees of freedom due to Fomenko and his school. On the basis of this theory we give a topological Liouville classification of the integrable Hamiltonian systems with ...
Ghorbanali Haghiighatdoost,
doaj
The persistence of elliptic lower dimensional tori with prescribed frequency for Hamiltonian systems
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
Control Of Chaos In Hamiltonian Systems [PDF]
We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more regular than the original one. We apply this technique to a forced pendulum model and show numerically that the control is able to drastically reduced chaos.
Ciraolo, G. +4 more
openaire +4 more sources
Synchrotron Radiation for Quantum Technology
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
wiley +1 more source
In this paper, we study geodesics of left-invariant sub-Riemannian metrics on the Cartesian square of a connected two-dimensional non-commutative Lie group, where the metric is determined by the inner product on a two-dimensional generating subspace of ...
Yuriĭ G. Nikonorov, Irina A. Zubareva
doaj +1 more source
Hamiltonian tomography: the quantum (system) measurement problem
To harness the power of controllable quantum systems for information processing or quantum simulation, it is essential to be able to accurately characterise the system's Hamiltonian.
Jared H Cole
doaj +1 more source
Elbert-type comparison theorems for a class of nonlinear Hamiltonian systems
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
Atomic Size Misfit for Electrocatalytic Small Molecule Activation
This review explores the application and mechanisms of atomic size misfit in catalysis for small molecule activation, focusing on how structural defects and electronic properties can effectively lower the energy barriers of chemical bonds in molecules like H2O, CO2, and N2.
Ping Hong +3 more
wiley +1 more source
Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]
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 +1 more
doaj +1 more source
On simplest Hamiltonian systems
Simple Hamiltonian systems, such as mathematical pendulum or Euler equations for rigid body, are solved without computation. It is nothing but a joke but maybe you will find it nice.
openaire +3 more sources

