Results 111 to 120 of about 19,239 (301)
Subharmonic solutions of first-order Hamiltonian systems
Advances in Nonlinear AnalysisThe aim of this article is to study subharmonic solutions of superquadratic and asymptotically (constant) linear nonautonomous Hamiltonian systems in R2n{{\mathbb{R}}}^{2n} respectively, and to improve the results in Professor Liu’s [Subharmonic ...
Zhou Yuting
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Geometry of Hamiltonian Dynamics with Conformal Eisenhart Metric
International Journal of Mathematics and Mathematical Sciences, 2011 We characterize the geometry of the Hamiltonian dynamics with a conformal metric. After investigating the Eisenhart metric, we study the corresponding conformal metric and obtain the geometric structure of the classical Hamiltonian dynamics. Furthermore,
Linyu Peng, Huafei Sun, Xiao Sun
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Lyapunov-type inequalities for planar linear dynamic Hamiltonian systems [PDF]
, 2013 We give new Lyapunov-type inequalities for linear Hamiltonian systems on arbitrary time scales, which improve recently published results and hence all the related ones in the literature.
Bohner, Martin +4 more
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Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems
Journal of Functional Analysis, 2001 The existence of a homoclinic orbit is proved in the paper for a Hamiltonian system \[ \dot z=JH_z(z,t),\tag{1} \] where \(z=(p,q)\in \mathbb R^{2N}\) and \(J=\left (\begin{smallmatrix} 0 & -I\\ I & 0\end{smallmatrix} \right)\). Furthermore, \(H(z,t)=\frac{1}{2}Az\cdot z+G(z,t)\) and \(H(0,t)=0\) with \(G_z(z,t)/|z|\to 0\) uniformly in \(t\) as \(z\to ...
Szulkin, Andrzej, Zou, Wenming
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Advanced Science, EarlyView.First‐principles calculations reveal that monolayer In2O${\rm In}_2{\rm O}$ hosts type‐II Dirac fermions near the Fermi level, which split into Weyl points under spin‐orbit coupling. The material exhibits negative and giant magnetoresistance, a pronounced spin Hall effect, and phonon‐mediated superconductivity at 1.5 K, establishing it as a unique ...
Qing‐Bo Liu +6 more
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Energy methods for lossless systems using quadratic differential forms
, 2008 In this thesis, we study the properties of lossless systems using the concept of quadratic differential forms (QDFs). Based on observation of physical linear lossless systems, we define a lossless system as one for which there exists a QDF known as an ...
Rao, Shodhan
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Lyapunov inequalities for discrete linear Hamiltonian systems
, 2003 In this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized ...
Kaymakçalan, B., Guseinov, G.Sh.
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Diverse Landscape of Tunable Magnetic, Topological, and Ferroelectric States in 2D Ti3Se3Te2
Advanced Science, EarlyView.Ti3Se3Te2 emerges as a multifunctional 2D van der Waals platform. The monolayer is a dynamically stable ferromagnetic quantum anomalous Hall insulator. In bilayers, two stacking configurations yield distinct phases: AA‐stacking hosts an altermagnetic quantum spin Hall insulator, while AA′‐stacking exhibits three‐state in‐plane ferroelectricity ...
Jiangtao Yu +5 more
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Non-linear stability of the Hamiltonian system on linear approximation
, 2012 : We consider the conditions of preserving stability of stationary point of linear Hamiltonian system with small non-linear perturbations. The algorithm for selection those areas of the set of stability for which the mentioned above conditions ...
Batkhin A. B. http://library.keldysh.ru/author_page.asp?aid=3178
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Efficient Screening of Organic Singlet Fission Molecules Using Graph Neural Networks
Advanced Science, EarlyView.A high‐throughput screening framework based on graph neural networks (GNNs) and multi‐level validation facilitates the identification of singlet fission (SF) candidates. By efficiently predicting excitation energies across 20 million molecules, and integrating TDDFT calculations, synthetic accessibility assessments, and GW+BSE calculations, this ...
Li Fu +5 more
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