Results 31 to 40 of about 28,061 (167)
Enhancing brain tumor detection in MRI images using YOLO-NeuroBoost model
Frontiers in NeurologyBrain tumors are diseases characterized by abnormal cell growth within or around brain tissues, including various types such as benign and malignant tumors. However, there is currently a lack of early detection and precise localization of brain tumors in
Aruna Chen +4 more
doaj +1 more source
Higher Order Hamiltonian Systems with Generalized Legendre Transformation
Mathematics, 2018 The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found.
Dana Smetanová
doaj +1 more source
QUANTUM BI-HAMILTONIAN SYSTEMS [PDF]
International Journal of Modern Physics A, 2000 We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associative structures. We find such structures by means of the associative version of Nijenhuis tensors. Explicit examples, e.g. for the harmonic oscillator, are given.
J.F. Carinena +2 more
openaire +4 more sources
Analytical Solution to Normal Forms of Hamiltonian Systems
Mathematical and Computational Applications, 2017 The idea of the normalisation of the Hamiltonian system is to simplify the system by transforming Hamiltonian canonically to an easy system. It is under symplectic conditions that the Hamiltonian is preserved under a specific transformation—the so-called
Ali Allahem
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper, we consider the following perturbed second-order Hamiltonian system $$ -\ddot{u}(t)+L(t)u=\nabla W(t,u(t))+\nabla G(t,u(t)), \qquad \forall \ t\in \mathbb{R}, $$ where $W(t,u)$ is subquadratic near origin with respect to $u$; the ...
Liang Zhang, Guanwei Chen
doaj +1 more source
Hamiltonian tomography: the quantum (system) measurement problem
New Journal of Physics, 2015 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
Dynamics of “leaking” Hamiltonian systems [PDF]
Physical Review E, 2002 In order to understand the dynamics in more detail, in particular for visualizing the space-filling unstable foliation of closed chaotic Hamiltonian systems, we propose to leak them up. The cutting out of a finite region of their phase space, the leak, through which escape is possible, leads to transient chaotic behavior of nearly all the trajectories.
Schneider, Judit +2 more
openaire +5 more sources
Hamiltonian Systems with Spin [PDF]
Canadian Mathematical Bulletin, 1969 In this note we give a brief exposition of the mathematical foundations of the theory of spin for both classical and quantum mechanical systems on oriented Riemannian manifolds. We shall use freely the notations and theory developed in Abraham [1] and Marsden [2, 3], From the physical point of view nothing new appears.
openaire +2 more sources
On the algebraic properties of difference approximations of Hamiltonian systems
Discrete and Continuous Models and Applied Computational ScienceIn this paper, we examine difference approximations for dynamic systems characterized by polynomial Hamiltonians, specifically focusing on cases where these approximations establish birational correspondences between the initial and final states of the ...
Lyubov O. Lapshenkova +2 more
doaj +1 more source
Frontiers in Applied Mathematics and Statistics, 2023 We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations.
Bernardo Cockburn +2 more
doaj +1 more source