Results 51 to 60 of about 267,752 (279)
About Linearization of Infinite-Dimensional Hamiltonian Systems
Communications in Mathematical Physics, 2022 This article is concerned with analytic Hamiltonian dynamical systems in infinite dimension in a neighborhood of an elliptic fixed point. Given a quadratic Hamiltonian, we consider the set of its analytic higher order perturbations. We first define the subset of elements which are formally symplectically conjugacted to a (formal) Birkhoff normal form ...
Michela Procesi, Laurent Stolovitch
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Stacking‐Engineered Magnonic Topology and Transport in Honeycomb Homobilayers
Advanced Functional Materials, EarlyView.ABSTRACT Topological magnons have emerged as a promising platform for dissipationless bosonic transport. However, a straightforward and effective strategy to engineer such topological states in real materials has yet to be fully realized. Here, a general scheme for controlling magnonic topological states via stacking engineering in van der Waals ...
Xiaoran Feng +6 more
wiley +1 more source
Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
Abstract and Applied Analysis, 2013 We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the ...
Qiang Zheng
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Survey of Eight Modern Methods of Hamiltonian Mechanics
Axioms, 2021 Here we describe eight new methods, arisen in the last 60 years, to study solutions of a Hamiltonian system with n degrees of freedom. The first six of them are intended for systems with small parameters or without them.
Alexander D. Bruno, Alexander B. Batkhin
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Robust Stability of Quantum Systems with Nonlinear Dynamic Uncertainties
, 2013 This paper considers the problem of robust stability for a class of uncertain nonlinear quantum systems subject to unknown perturbations in the system Hamiltonian.
Petersen, Ian R.
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Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
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Frontiers in Applied Mathematics and Statistics, 2023 We discuss structure-preserving model order reduction for port-Hamiltonian systems based on a nonlinear approximation ansatz which is linear with respect to a part of the state variables of the reduced-order model.
Philipp Schulze
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Singular linear q-Hamiltonian systems
Annales Universitatis Mariae Curie-Sklodowska, sectio A – MathematicaIn this paper, a singular linear q-Hamiltonian system is considered. The Titchmarsh-Weyl theory for this problem is constructed. Firstly, we provide some necessary fundamental concepts of the q-calculus. Later, we studied Titchmarsh-Weyl functions M(λ) and circles CTW(a,λ) for this system. Circles CTW(a,λ) are proved to be nested. In the fourth part of
Allahverdiev, Bilender, Tuna, Huseyin
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2D Magnetic and Topological Quantum Materials and Devices for Ultralow Power Spintronics
Advanced Functional Materials, EarlyView.2D magnets and topological quantum materials enable ultralow‐power spintronics by combining robust magnetic order with symmetry‐protected, Berry‐curvature‐driven transport. Fundamentals of 2D anisotropy and spin‐orbit‐coupling induced band inversion are linked to scalable growth and vdW stacking.
Brahmdutta Dixit +5 more
wiley +1 more source
A Popov Stability Condition for Uncertain Linear Quantum Systems
, 2013 This paper considers a Popov type approach to the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian.
James, Matthew R. +2 more
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