Results 21 to 30 of about 134,686 (230)
Analisys of Hamiltonian Boundary Value Methods (HBVMs): a class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems [PDF]
One main issue, when numerically integrating autonomous Hamiltonian systems, is the long-term conservation of some of its invariants, among which the Hamiltonian function itself.
Abramovitz +21 more
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An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation. Hamiltonian structure of obtained integrable family is established.
Xi-Xiang Xu, Meng Xu
doaj +1 more source
Structure Preserving Model Reduction of Parametric Hamiltonian Systems [PDF]
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 is of present challenges.
Afkham, Babak Maboudi, Hesthaven, Jan S.
core +2 more sources
Hamiltonian discretization of boundary control systems [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Golo, G. +3 more
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Bargmann Type Systems for the Generalization of Toda Lattices
Under a constraint between the potentials and eigenfunctions, the nonlinearization of the Lax pairs associated with the discrete hierarchy of a generalization of the Toda lattice equation is proposed, which leads to a new symplectic map and a class of ...
Fang Li, Liping Lu
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Energy-Preserving AVF Methods for Riesz Space-Fractional Nonlinear KGZ and KGS Equations
The Riesz space-fractional derivative is discretized by the Fourier pseudo-spectral (FPS) method. The Riesz space-fractional nonlinear Klein–Gordon–Zakharov (KGZ) and Klein–Gordon–Schrödinger (KGS) equations are transformed into two infinite-dimensional ...
Jianqiang Sun, Siqi Yang, Lijuan Zhang
doaj +1 more source
Discrete-time port-Hamiltonian systems: A definition based on symplectic integration [PDF]
We introduce a new definition of discrete-time port-Hamiltonian systems (PHS), which results from structure-preserving discretization of explicit PHS in time.
Kotyczka, Paul, Lefèvre, Laurent
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Time-varying discrete Hamiltonian systems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halanay, A., Ionescu, V.
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Symmetry-protected exceptional and nodal points in non-Hermitian systems
One of the unique features of non-Hermitian (NH) systems is the appearance of NH degeneracies known as exceptional points (EPs). The extensively studied defective EPs occur when the Hamiltonian becomes non-diagonalizable.
Sharareh Sayyad, Marcus Stålhammar, Lukas Rødland, Flore K. Kunst
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This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH).
Xiangyu Chen +3 more
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