Results 21 to 30 of about 24,687,007 (292)
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati ...
Mingliang Song, Runzhen Li
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Structure Preserving Model Reduction of Parametric Hamiltonian Systems [PDF]
SIAM Journal on Scientific Computing, 2017 While reduced-order models (ROMs) have been popular for efficiently solving large systems of differential equations, the stability of reduced models over long-time integration presents challenges.
B. M. Afkham, J. Hesthaven
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Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
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Structure-preserving discretization for port-Hamiltonian descriptor systems [PDF]
IEEE Conference on Decision and Control, 2019 We extend the modeling framework of port-Hamiltonian descriptor systems to include under- and overdetermined systems and arbitrary differentiable Hamiltonian functions.
V. Mehrmann, Riccardo Morandin
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Instability in Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2005 From the time of the pioneer Poincaré's essay up to the present days, chaos in conservative dynamics has been identified with the presence of heteroclinic motions in the phase space.
A. Pumarino, Claudia Valls
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Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics
Advances in Nonlinear Analysis, 2022 We consider Hamiltonian functions of the classical type, namely, even and convex with respect to the generalized momenta. A brake orbit is a periodic solution of Hamilton’s equations such that the generalized momenta are zero on two different points ...
Corona Dario, Giannoni Fabio
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Deep-learning density functional theory Hamiltonian for efficient ab initio electronic-structure calculation [PDF]
Nature Computational Science, 2021 The marriage of density functional theory (DFT) and deep-learning methods has the potential to revolutionize modern computational materials science. Here we develop a deep neural network approach to represent the DFT Hamiltonian (DeepH) of crystalline ...
He Li +7 more
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Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems [PDF]
, 2019 We introduce a new framework for the robust control of quantum dynamics of strongly interacting many-body systems. Our approach involves the design of periodic global control pulse sequences to engineer desired target Hamiltonians that are robust against
Joonhee Choi +5 more
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Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems
Abstract and Applied Analysis, 2010 We establish the Weyl-Titchmarsh theory for singular linear Hamiltonian dynamic systems on a time scale 𝕋, which allows one to treat both continuous and discrete linear Hamiltonian systems as special cases for 𝕋=ℝ and 𝕋=ℤ within ...
Shurong Sun, Martin Bohner, Shaozhu Chen
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Canonical transformations of linear Hamiltonian systems [PDF]
E3S Web of ConferencesIn this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
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