Results 21 to 30 of about 10,847 (104)

On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax 4 + cx 2 y 2

Journal of Dynamics and Differential Equations, 2009
The authors consider a planar mechanical system \(\ddot{q} =\nabla V(q)\), \(q = (x, y) \in \mathbb R^{2}\), where the potential \(V\) is a homogeneous polynomial of degree four in two variables, \(V(x, y) = ax^{4} + cx^{2}y^{2}\), \(a, c\in \mathbb R\). The associated Hamiltonian system is \(\dot{x} = p_1\), \(\dot{y}=p_2\), with \(\dot{p_1} = 2x[2ax^{
Falconi, Manuel, Lacomba, Ernesto, Vidal, Claudio   +2 more
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The Modified Homogeneous Balance Method for solving fractional Cahn–Allen and equal width equations

Partial Differential Equations in Applied Mathematics
This paper presents exact solutions to the Fractional Cahn–Allen (FC–A) and the Fractional Equal Width (FEW) equations using the Modified Homogeneous Balance Method (MHBM).
Francis Tuffour, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
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A Correction Method of Ring Artifact in CT Image of C/C Component Based on Detector Response Mechanism

Yuanzineng kexue jishu
In computed tomography (CT) imaging of C/C composite materials, one of the main challenges is the presence of significant ring artifacts in the reconstructed image.
JIN Ke1, ZHOU Xingming1, SUN Yuewen2, XU Lin1, YUAN Shengping1, LU Wu1, ZENG Tianchen2
doaj   +1 more source

Discreteness of spectrum criteria for Schrödinger operators with non-negative polynomial or homogeneous potentials

Journal of Mathematical Analysis and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local Integral Equations and two Meshless Polynomial Interpolations with Application to Potential Problems in Non-homogeneous Media

Computer Modeling in Engineering & Sciences, 2005
An efficient numerical method is proposed for 2-d potential problems in anisotropic media with continuously variable material coefficients. The method is based on the local integral equations (utilizing a fundamental solution) and meshfree approximation of field variable.
V. Sladek, J. Sladek, M. Tanaka
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Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials

, 2003
In this paper, separability of the perturbed two-dimensional isotropic harmonic oscillators with homogeneous polynomial potentials is characterized from their Birkhoff-Gustavson (BG) normalization, one of the conventional methods for non-integrable Hamiltonian systems.
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HARMONIC INTEGRATION OF QUASI POLYNOMIAL POTENTIALS WHICH ARE HOMOGENEOUS IN EULER TERMS [PDF]

NAUCHNOE PRIBOROSTROENIE, 2017
A. S. Berdnikov, N. K. Krasnova, K. V. Solovyev   +2 more
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Direct construction of polynomial first integrals for Hamiltonian systems with a two-dimensional homogeneous polynomial potential

Direct construction of polynomial first integrals for Hamiltonian systems with a two-dimensional homogeneous polynomial potential
与えられた運動方程式の一般解を既知の関数で書き下すことは，天体力学研究における重要な問題である。しかし，そのように「解ける」問題は稀であり，大部分は「解はない」と言ってよい。例えば，2体問題は，その解が円錐曲線で表されるので，「解ける」問題である。それに対して，3体以上の多体問題は，　「解はない」問題である。一般に，微分方程式が「解ける」か「解けない」かは，十分な数の第一積分（保存量）が存在するかどうかにかかつている。2体問題が解けて，3体問題が解けない理由は，その点にある。ハミルトン系の場合，互いのポアソン括弧の値がすべて0になるような独立な第一積分が自由度の数だけ存在すれば，求積法によって運動方程式の一般解を求めることができる。このとき，ハミルトン系は可積分であるという ...
openaire  

Delineating homogeneous zones for rock joint wall mechanical properties in open-pit mine slope based on a multi-indicator stacked generalization model. [PDF]

Sci Rep
Yu X, Zheng A, Ye J, Qin J, An P, Wang R.   +5 more
europepmc   +1 more source

Quantitative Characterization of Tensile Strength for Carburized Materials Using a Novel Composite Strength Method. [PDF]

Materials (Basel)
Wang H, Guo Y, Chen S, Zha X, Li Z, Xu Z.   +5 more
europepmc   +1 more source