Results 31 to 40 of about 14,168 (160)

Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities

open access: yesOpen Mathematics, 2022
By applying the combination of discrete variational method and approximation, developed in a previous study [J. Kuang, W. Chen, and Z. Guo, Periodic solutions with prescribed minimal period for second-order even Hamiltonian systems, Commun.
Kuang Juhong, Chen Weiyi
doaj   +1 more source

On the deformation of linear Hamiltonian systems [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2021
30 pages, minor ...
openaire   +3 more sources

On the Derivation of Multisymplectic Variational Integrators for Hyperbolic PDEs Using Exponential Functions

open access: yesApplied Sciences, 2021
We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems.
Odysseas Kosmas   +2 more
doaj   +1 more source

On the Eigenvalues of the Fermionic Angular Eigenfunctions in the Kerr Metric

open access: yesEntropy, 2022
In view of a result recently published in the context of the deformation theory of linear Hamiltonian systems, we reconsider the eigenvalue problem associated with the angular equation arising after the separation of the Dirac equation in the Kerr metric,
Davide Batic   +2 more
doaj   +1 more source

New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems

open access: yesDiscrete Dynamics in Nature and Society, 2013
Using a generalized Riccati transformation and the general integral means technique, some new interval oscillation criteria for the linear matrix Hamiltonian system U'=(A(t)-λ(t)I)U+B(t)V, V'=C(t)U+(μ(t)I-A*(t))V, t≥t0 are obtained.
Jing Shao, Fanwei Meng
doaj   +1 more source

A DIFFERENTIAL INTEGRABILITY CONDITION FOR TWO-DIMENSIONAL HAMILTONIAN SYSTEMS

open access: yesActa Polytechnica, 2014
We review, restate, and prove a result due to Kaushal and Korsch [Phys. Lett. A 276, 47 (2000)] on the complete integrability of two-dimensional Hamiltonian systems whose Hamiltonian satisfies a set of four linear second order partial differential ...
Ali Mostafazadeh
doaj   +1 more source

Special exceptional point acting as Dirac point in one dimensional -symmetric photonic crystal

open access: yesNew Journal of Physics, 2022
We reveal that a special exceptional point (EP) can act as a Dirac point in a one-dimensional $\mathcal{P}\mathcal{T}$ -symmetric photonic crystal and prove it in detail using our extended first-principle theory.
Tiecheng Wang
doaj   +1 more source

The Linearized Vlasov-Maxwell System as a Hamiltonian System

open access: yesJournal of Computational Physics
We present a Hamiltonian formulation for the linearized Vlasov-Maxwell system with a Maxwellian background distribution function. We discuss the geometric properties of the model at the continuous level, and how to discretize the model in the GEMPIC framework [1]. This method allows us to preserve the structure of the system at the semi-discrete level.
Dominik Bell   +3 more
openaire   +2 more sources

Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems with Some Twisted Conditions

open access: yesAbstract and Applied Analysis, 2013
By the Maslov index theory, we will study the existence and multiplicity of homoclinic orbits for a class of asymptotically linear nonperiodic Hamiltonian systems with some twisted conditions on the Hamiltonian functions.
Qi Wang, Qingye Zhang
doaj   +1 more source

J-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems

open access: yesAbstract and Applied Analysis, 2013
This paper is concerned with formally J-self-adjoint discrete linear Hamiltonian systems on finite or infinite intervals. The minimal and maximal subspaces are characterized, and the defect indices of the minimal subspaces are discussed.
Guojing Ren, Huaqing Sun
doaj   +1 more source

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