Results 71 to 80 of about 71,208 (194)
GMRES for oscillatory matrix-valued differential equations [PDF]
, 2009 We investigate the use of Krylov subspace methods to solve linear, oscillatory ODEs. When we apply a Krylov subspace method to a properly formulated equation, we retain the asymptotic accuracy of the asymptotic expansion whilst converging to the exact ...
Olver, Sheehan
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Modification of the Stability Regions in Stretched Paul Ion Trap by Damping Force [PDF]
مجله علوم و فنون هستهای, 2017 With the change of an ion trap geometrical shape, ring and end-cap electrodes, and also damping force effects, the first and second stability regions are studied in a stretched Paul ion trap.
I Ziaeian +3 more
doaj
, 2020 The El Nino southern oscillation (ENSO) behavior can be effectively modeled as a response to a 2nd-order Mathieu/Hill differential equation with periodic coefficients describing sloshing of a volume of water. The forcing of the equation derives from QBO,
Pukite, Paul R.
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Driven collective instabilities in magneto-optical traps: a fluid-dynamical approach
, 2010 We present a theoretical model to describe an instability mechanism in ultra-cold gases, where long-range interactions are taken into account. Focusing on the nonlinear coupling between the collective (plasma-like) and the center-of-mass modes, we show ...
Kaiser, R. +2 more
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Nonlinear Mathieu Equation and its Approximation Without a Small Parameter
Engineering Transactions, 2015 In this paper, the linear and nonlinear Mathieu equations without a small parameter are considered, which cannot be solved by the perturbation techniques.
Ji-Huan He
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MathematicsWe investigate solutions of the classical Mathieu–Hill (MH) equation that characterizes the dynamics of trapped ions. The analytical model we introduce demonstrates the equations of motion are equivalent to those of a harmonic oscillator (HO).
Bogdan M. Mihalcea
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Wall stabilization and the Mathieu–Hill equations
Physics of Plasmas, 2002 In a recent publication [H. Tasso and G. N. Throumoulopoulos, Phys. Lett. A 271, 413 (2000)] on Lyapunov stability of general mechanical systems, it is shown that “parametric excitations” can be stabilized by dissipation for positive potential energies. Specializing on the damped Mathieu equation permits one to establish its full stability chart. It is
Tasso, H., Throumoulopoulos, G.
openaire +3 more sources
The KdV Action and Deformed Minimal Models
, 1992 An action is constructed that gives an arbitrary equation in the KdV or MKdV hierarchies as equation of motion; the second Hamiltonian structure of the KdV equation and the Hamiltonian structure of the MKdV equation appear as Poisson bracket structures ...
Schiff, Jeremy
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On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations [PDF]
, 2016 Biconfluent Heun equation (BHE) is a confluent case of the general Heun equation which has one more regular singular points than the Gauss hypergeometric equation on the Riemann sphere $\hat{\mathbb{C}}$.
Chiang, Yik-Man, Yu, Guo-Fu
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Simulation of electromagnetic wave scattering on hollow structures with elliptical cross section
Вестник Дагестанского государственного технического университета: Технические наукиObjective. The aim of the study is to solve a problem aimed at assessing the characteristics of electromagnetic wave scattering on hollow structures whose dimensions belong to the resonant region.Method.
V. V. Garbuzov, A. P. Preobrazhensky
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