A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
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Linear Stability Analysis of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem [PDF]
, 2011 We apply the symmetry reduction method of Roberts to numerically analyze the linear stability of a one-parameter family of symmetric periodic orbits with regularizable simultaneous binary collisions in the planar pairwise symmetric four-body problem with
Duokui Yan +3 more
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Modelling and stability analysis of the nonlinear system [PDF]
, 2022 The production industries have repeatedly combated the problem of system modelling. Successful control of a system depends mainly on the exactness of the mathematical model that predicts its dynamic.
Radulović, Radoslav, Vesović, Mitra
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Relative equilibria of a gyrostat in the three body problem
, 2007 We consider the non-canonical Hamiltonian dynamics of a gyrostat in the three body problem. By means of geometric-mechanics methods we will study the approximate dynamics that arises when we develop the potential in series of Legendre and truncate this ...
J. A. Vera, A. Vigueras
semanticscholar +1 more source
Stability Problems and Analytical Integration for the Clebsch’s System
Open Mathematics, 2019 The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
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Periodic orbits of a perturbed 3-dimensional isotropic oscillator with axial symmetry [PDF]
, 2015 We study the periodic orbits of a generalized Yang-Mills Hamiltonian H depending on a parameter β. Playing with the parameter β we are considering extensions of the Contopoulos and of the Yang-Mills Hamiltonians in a 3-dimensional space. This Hamiltonian
Guirao, Juan Luis Garcia +2 more
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Технологическая подготовка производства детали «Крышка» на станках с ЧПУ [PDF]
, 2023 В работе выполнен анализ чертежа детали и её технологичности, разработан технологический процесс обработки детали с операционными эскизами и описанием переходов по каждой операции, рассчитаны припуски на обработку, технологические размеры, выполнен ...
Ли, Вэйхан
core
Stability problem for the torque-free gyrostat by using algebraic methods [PDF]
, 1998 We apply an algebraic method for studying the stability with respect to a set of conserved quantities for the problem of torque-free gyrostat. If the conditions of this algebraic method are not fulfilled then the Lyapunov stability cannot be decided ...
C Jeynes +10 more
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Instability of dielectrics and conductors in electrostatic fields [PDF]
, 2016 International audienceThis article proves most of the assertion in §116 of Maxwell's treatise on electromagnetism. The results go under the name Earnshaw's Theorem and assert the absence of stable equilibrium configurations of conductors and dielectrics ...
Allaire, Grégoire, Rauch, Jeffrey
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