Results 1 to 10 of about 748,632 (287)

Identifications of the coefficients of the Taylor expansion (second order) of periodic non-collision solutions for the perturbed planar Keplerian Hamiltonian system

open access: yesAIMS Mathematics, 2023
The discussion of disordered Keplerian Hamiltonian systems in our previously published study, which we verified, is expanded upon in this article. The collision semicircular orbit, and at least one other symmetric orbit is mentioned in this article.
Riadh Chteoui
doaj   +1 more source

Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems

open access: yesElectronic Research Archive, 2022
Under a generalized subquadratic growth condition, brake orbits are guaranteed via the homological link theorem. Moreover, the minimal period estimate is given by Morse index estimate and $ L_{0} $-index estimate.
Xiaofei Zhang, Fanjing Wang
doaj   +1 more source

An efficient linearly-implicit energy-preserving scheme with fast solver for the fractional nonlinear wave equation

open access: yesAIMS Mathematics, 2023
The paper considers the Hamiltonian structure and develops efficient energy-preserving schemes for the nonlinear wave equation with a fractional Laplacian operator. To this end, we first derive the Hamiltonian form of the equation by using the fractional
Tingting Ma , Yuehua He
doaj   +1 more source

Modeling and Analysis of a Three-Terminal-Memristor-Based Conservative Chaotic System

open access: yesEntropy, 2021
In this paper, a three-terminal memristor is constructed and studied through changing dual-port output instead of one-port. A new conservative memristor-based chaotic system is built by embedding this three-terminal memristor into a newly proposed four ...
Ze Wang, Guoyuan Qi
doaj   +1 more source

Dynamical behavior and control of a new hyperchaotic Hamiltonian system

open access: yesAIMS Mathematics, 2022
In this paper, we firstly formulate a new hyperchaotic Hamiltonian system and demonstrate the existence of multi-equilibrium points in the system. The characteristics of equilibrium points, Lyapunov exponents and Poincaré sections are studied.
Junhong Li, Ning Cui
doaj   +1 more source

On the reducibility of a class of almost-periodic linear Hamiltonian systems and its application in Schrödinger equation

open access: yesAIMS Mathematics, 2023
In the present paper, we focus on the reducibility of an almost-periodic linear Hamiltonian system $ \frac{dX}{dt} = J[A+\varepsilon Q(t)]X, X\in \mathbb{R}^{2d} , $ where $ J $ is an anti-symmetric symplectic matrix, $ A $ is a symmetric matrix, $
Muhammad Afzal   +5 more
doaj   +1 more source

Orbital stability of periodic standing waves of the coupled Klein-Gordon-Zakharov equations

open access: yesAIMS Mathematics, 2023
This paper investigates the orbital stability of periodic standing waves for the following coupled Klein-Gordon-Zakharov equations $ \begin{equation*} \left\{ \begin{aligned} &u_{tt}-u_{xx}+u+\alpha uv+\beta|u|^{2}u = 0, \ &v_{tt}-v_{xx} =
Qiuying Li   +2 more
doaj   +1 more source

The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
There are studied Lie-algebraic structures of a wide class of heavenly type non-linear integrable equations, related with coadjoint flows on the adjoint space to a loop vector field Lie algebra on the torus.
O.Ye. Hentosh   +2 more
doaj   +1 more source

A novel Hamiltonian-based method for two-dimensional transient heat conduction in a rectangle with specific mixed boundary conditions

open access: yesJournal of Thermal Science and Technology, 2017
A novel Hamiltonian-based method is introduced to the two-dimensional (2-D) transient heat conduction in a rectangular domain with partial temperature and partial heat flux density on one boundary.
Chenghui XU   +3 more
doaj   +1 more source

Thermal buckling and postbuckling of functionally graded multilayer GPL-reinforced composite beams on nonlinear elastic foundations

open access: yesHeliyon, 2023
Under the influence of axial forces and uniform temperature variations, the thermal buckling and postbuckling of composite beams reinforced of functionally graded multilayer graphene platelets (GPLs) resting on nonlinear elastic foundations are examined.
Ying Lv, Jing Zhang, Lianhe Li
doaj  

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