Results 231 to 240 of about 286,324 (269)
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1976
In this paper we present several new aspects of the method of averages: first we describe some formal properties of the method, second we apply it in order to reprove Hopf’s bifurcation theorem (and obtain a direction of bifurcation formula which is similar to that of Hsu and Kazarinoff), thirdly we offer a theorem concerning error bounds.
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In this paper we present several new aspects of the method of averages: first we describe some formal properties of the method, second we apply it in order to reprove Hopf’s bifurcation theorem (and obtain a direction of bifurcation formula which is similar to that of Hsu and Kazarinoff), thirdly we offer a theorem concerning error bounds.
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Error Bounds in the Method of Averaging Based on Properties of Average Motion
SIAM Journal on Mathematical Analysis, 1979In applying asymptotic methods such as the averaging method, upper bounds for the deviation of the approximate solution from the exact solution can be derived. In this paper the dependence of such bounds on properties of the average system is discussed. A simple example illustrates the usefulness of the resulting bounds.
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Evaluation of ensemble averaging methods in 3D ballistocardiography
2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2014Ballistocardiography (BCG) is a non-invasive technique which measures the acceleration of a body induced by cardiovascular activity, namely the force exerted by the beating heart. Measuring a BCG in a gravity-free environment provides ideal conditions where the subject is completely decoupled from its environment.
Lejeune L +3 more
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Problems and methods of averaged optimization
Proceedings of the Steklov Institute of Mathematics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Average Run Lengths of Geometric Moving Average Charts by Numerical Methods
Technometrics, 1978A numerical procedure is presented for the tabulation of average run lengths (ARL's) of geometric moving average charts. Both one-and two-sided ARL's are given for various settings of the control limits, smoothing constant and shift in the nominal level of the process mean. Where comparison is possible.
P. B. Robinson, T. Y. Ho
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Method of averaging for two-dimensional "integrable" equations
Functional Analysis and Its Applications, 1989The author deals with an averaging method usually called the nonlinear WKB method - a generalization of the classic Bogoljubov-Krylov averaging method to PDE's. The goal of this paper is to generalize the WKB method to the case of the bidimensional ``integrable'', analogous to the Lax's equation: \([\partial_ y-L,\partial_ t-A]=0,\) where \(L=\sum^{n}_{
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Average Level Crossing Rate and Average Fade Duration of Diversity Methods
2003The analytical expressions of average level crossing rate (LCR) and average fade duration (AFD) of the output signal of a diversity combiner are presented in this paper. Exact, closed-form results are obtained for maximal ratio combining (MRC) diversity operating on independent and identical Ricean fading branches, while accurate approximations for ...
Xiaofei Dong, Norman C. Beaulieu
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Methods of Averaging for Adaptive Systems
1986A summary of methods of averaging analysis is presented for continuous-time adaptive systems. The averaging results of Riedle and Kokotovic [1] and of Ljung [2] are examined and are shown to be closely related. Both approaches result in a sharp stability-instability boundary which can be tested in the frequency domain and interpreted as a signal ...
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