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Small signal parameter of LLC converter
2017 IEEE 12th International Conference on Power Electronics and Drive Systems (PEDS), 2017This paper presents the influence of circuit parameters on the small signal characteristics of the control to output transfer function of the LLC current resonant converter. The equivalent source model is employed for the analysis. To derive the dc gain and the internal resistance, circuit simulator is used.
Yusuke Murakami +2 more
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Small parasitic parameters and chemical oscillations
Faraday Symposia of the Chemical Society, 1974In treating chemical oscillators, it is common practice to use no more than two concentrations as dependent variables due to the mathematical difficulties with more than two. Other variables, necessarily involved to make the system nontrivial—the “pool” chemicals—are treated as parameters which are independent of time.
B. F. Gray, L. J. Aarons
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Parameters of photomultipliers with small photocathodes
Journal of Applied Spectroscopy, 1967A description is given of FEU-64 tubes, cathode area 0.2 cm2, for Sb-Cs and multialkali cathodes. The latter can measure fluxes of 2 × 10−15 W in the range 4000–6000 a with a signal-to-noise ratio of 10 in a passband of 1 Hz.
B. M. Glukhovskoi, A. L. Osherovich
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Reflection Function and the Small Parameter Method
Differential Equations, 2004The paper deals with periodic solutions of multi-dimensional differential systems. By combining symmetry properties expressed by the notion of reflection function with the small parameter method, sufficient conditions for the existence of periodic solutions are derived.
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Numerical small parameter method for stiff ODE:s
BIT, 1983A numerical method for stiff ODE:s is proposed in this paper. The Jacobian matrix is not needed. The results of 30 examples are presented.
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Dimensional analysis and small parameters
1997Scientific disciplines deal with quantities that are by nature qualitatively different and that are measured with the help of numbers.
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About MHD system with small parameter
Asymptotic Analysis, 2005In this paper, we study the convergence of strong solutions of a MHD system. The proofs, in booth cases of ${\mathbb{T}}^{3}$ or ${\mathbb{R}}^{3}$ , are based on spectral properties of the penalized operator and the energy method. Moreover, in the case of the whole space, we prove a refined convergence result for initial data 2D + 3D.
Benameur, J., Ghazel, M., Majdoub, M.
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On Exponentially Small Effects in Dynamical Systems with a Small Parameter
Journal of Mathematical Sciences, 2005The author proves a theorem which makes it possible to treat different exponentially small effects in dynamics from a unified point of view. As an example, the problem of in fast averaging in multi-frequency systems with a slow variable belonging to a Banach space is discussed.
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Diffusion Processes Depending on a Small Parameter
Theory of Probability & Its Applications, 1962In this paper we consider a random disturbance of a system of ordinary differential equations which can be written in vector form as follows: \[ x( t ) = a ( {t,x} ), x( 0 ) = x_0 ,\quad t \in [ {0,t_0 } ],t < \infty .\]
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Non linear eigenvalues problems with a small parameter
Integral Equations and Operator Theory, 1984In this work we study nonlinear eigenvalues problems like \([-\sigma^ 2d^ 2/dt^ 2+(t^ 2-\mu)^ 2+1]u=0\) where \(\mu \in {\mathbb{C}}\), \(\sigma >0\), \(u\in {\mathcal S}({\mathbb{R}}^ n)\). More precisely we study the spectrum of the operator \(Q(\sigma;\mu)=-\sigma^ 2d^ 2/dt^ 2+(t^ 2-\mu)^ 2+1\) when \(\sigma \to 0\), \(\sigma >0\).
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