Results 251 to 260 of about 857,676 (288)

Slowly varying function method applied to quartz crystal oscillator transient calculation

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1998
By using an approach based on the full nonlinear Barkhausen criterion, it is possible to describe oscillator behavior under the form of a nonlinear characteristic polynomial whose coefficients are functions of the circuit components and of the oscillation amplitude.
Brendel, R., Ratier, N., Couteleau, L., Marianneau, G., Guillemot, P.   +4 more
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A FAST-MANIFOLD APPROACH TO MELNIKOV FUNCTIONS FOR SLOWLY VARYING OSCILLATORS

International Journal of Bifurcation and Chaos, 1996
A new approach to obtaining the Melnikov function for homoclinic orbits in slowly varying oscillators is proposed. The present method applies the usual two-dimensional Melnikov analysis to the “fast” dynamics of the system which lie on an invariant manifold. It is shown that the resultant Melnikov function is the same as that obtained in the usual way
Chen, Shyh-Leh, Shaw, Steven W.
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New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions

Journal of Mathematical Analysis and Applications, 2021
In this paper, the authors contribute to the qualitative theory of linear differential equations of second-order in the form \[ [r(t)x'(t)]'+s(t)x(t)=0, \] where \(r > 0\), \(s\) are continuous functions. In the first section, some background information on the subject of this article is provided.
Petr Hasil, Michal Veselý
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Slowly varying, linear, neutral, functional, differential equations†

International Journal of Control, 1973
Abstract For a slowly varying, linear, neutral, functional, differential equation, a sufficient condition is derived which ensures uniform exponential stability.
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Perturbation methods and the Melnikov functions for slowly varying oscillators

Chaos, Solitons & Fractals, 2005
A new approach based on the Lindstedt-Poincaré method is proposed to obtain the Melnikov function for homoclinic orbits in slowly varying oscillators. The goal of the authors is to show that without dealing explicitly with the complicated geometry related to the three-dimensional distance measured in a Poincaré section, the same Melnikov function can ...
Lakrad, Faouzi, Charafi, Moulay Mustapha
openaire   +1 more source

Convolutions with slowly varying functions in the complex domain

Integral Transforms and Special Functions, 2005
We prove a theorem concerning asymptotic behavior of general complex-valued kernel convolutions with slowly varying functions in the sense of Karamata. In applications, we show that the content of some classical theorems can be naturally extended on some parts of complex z-plane.
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Analysis of noise in quartz crystal oscillators by using slowly varying functions method

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1999
By using formal manipulation capability of commercially available symbolic calculation code, it is possible to automatically derive the characteristic polynomial describing the conditions for oscillation of a circuit. The analytical expression of the characteristic polynomial is obtained through an encapsulation process starting from the SPICE netlist ...
Brendel, R., Ratier, N., Couteleau, L., Marianneau, G., Guillemot, P.   +4 more
openaire   +2 more sources

Estimation of slowly time-varying trend function in long memory regression models

Journal of Statistical Computation and Simulation, 2018
ABSTRACTWe study the asymptotic properties of the least-squares estimator for the trend function of a particular class of locally stationary models, which are defined by considering a smooth variation of the trend function. Additionally, errors are assumed to be realizations from a long-range dependent stationary Gaussian process. Our findings are then
Guillermo Ferreira, Nicolas Piña, Emilio Porcu   +2 more
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Stabilization of nonlinear systems with a slowly varying parameter by a control Lyapunov function

ISA Transactions, 2010
Based on a control Lyapunov function (CLF) strategy, a novel approach for designing a controller for a slowly varying nonlinear system is proposed. The approach may be thought of as being in between the time-invariant and time-varying CLF techniques.
M H, Shafiei, M J, Yazdanpanah
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Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baran, M., Bieniasz, L. K.
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