Results 41 to 50 of about 10,537,968 (352)
, 2017 We develop the averaging theory at any order for computing the periodic solutions of periodic discontinuous piecewise differential system of the form drdθ=r′={F+(θ,r,ϵ)if0≤θ≤α,F−(θ,r,ϵ)ifα≤θ≤2π, where F±(θ,r,ϵ)=∑ki=1ϵiF±i(θ,r)+ϵk+1R±(θ,r,ϵ) with θ∈S1 ...
Jackson Itikawa, J. Llibre, D. Novaes
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A Density Functional Theory for the Average Electron Energy
Journal of Chemical Theory and Computation, 2022 A formally exact density functional theory (DFT) determination of the average electron energy is presented. Our theory, which is based on a different accounting of energy functional terms, partially solves one well known downside of conventional Kohn-Sham (KS) DFT: that electronic energies have but tenuous connections to physical quantities. Calculated
Stefano Racioppi +3 more
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Periodic solutions for a class of perturbed sixth-order autonomous differential equations [PDF]
Arab Journal of Mathematical SciencesPurpose – The objective of this work is to study the periodic solutions for a class of sixth-order autonomous ordinary differential equations x(6)+(1+p2+q2)x… .+(p2+q2+p2q2)x¨+p2q2x=εF(x,ẋ,x¨,x…,x… .,x(5)), where p and q are rational numbers different ...
Chems Eddine Berrehail, Amar Makhlouf
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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Journal of Innovative Applied Mathematics and Computational Sciences, 2023 In this paper, we will study the maximum number of limit cycles of a perturbed differential system with respect to its parameters which appear in the system specially on the degree of the polynomials.
Sana Karfes, Elbahi Hadidi
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Sampling Theory with Average Values on the Sierpinski Gasket [PDF]
Constructive Approximation, 2016 In the case of some fractals, sampling with average values on cells is more natural than sampling on points. In this paper we investigate this method of sampling on $SG$ and $SG_{3}$. In the former, we show that the cell graph approximations have the spectral decimation property and prove an analog of the Shannon sampling theorem..
Robert Ravier, Robert S. Strichartz
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Mathematics, 2022 The idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information.
Tahir Mahmood +4 more
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Limit cycles for a class of polynomial differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we consider the limit cycles of a class of polynomial differential systems of the form $\dot{x}=-y^{2p-1},\ \dot{y}=x^{2mp-1}+\varepsilon(px^{2mp}+qy^{2p})(g(x,y)-A)$, where $g(x,y)$ is a polynomial.
Jianyuan Qiao, Shuliang Shui
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this work we prove, using averaging theory at any order in the small perturbation parameter, that the period annulus of the harmonic oscillator has cyclicity zero (no limit cycles bifurcate) when it is perturbed by any fixed homogeneous polynomial ...
Isaac García, Susanna Maza
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Thermally-Assisted Spin-Transfer Torque Dynamics in Energy Space
, 2013 We consider the general Landau-Lifshitz-Gilbert theory underlying the magnetization dynamics of a macrospin magnet subject to spin-torque effects and thermal fluctuations.
Kent, Andrew D. +2 more
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