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N. V. Khovanov 《Measurement Techniques》2007,50(3):255-258
A Bayesian model is proposed based on randomizing the systematic errors of the instruments. Conditions are identified under
which the randomization reduces the expected bias in estimating a measured quantity.
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Translated from Izmeritel’naya Tekhnika, No. 3, pp. 22–25, March, 2007. 相似文献
2.
Mathematical models have been constructed for three types of uncertainty (interval, stochastic, and Bayesian), and the application
of these models is discussed for describing measurements in the presence of unmonitored fluctuations leading to ambiguities
in the results.
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Translated from Izmeritel'naya Tekhnika, No. 9, pp. 39–44, September, 2005. 相似文献
3.
The dynamics of two symmetrically coupled Lorenz systems is investigated by means of a numerical experiment. A bifurcation
analysis of the synchronization process is presented. The results are compared with numerical experiments. It is shown that
changing the coupling can synchronize or desynchronize the subsystems.
Pis’ma Zh. Tekh. Fiz. 24, 22–30 (April 12, 1998) 相似文献
4.
The activation dynamics of one-dimensional maps is considered. It is shown that the activation law describing the average
time required for attaining a given boundary has the form of the error function (erfc), whereas approximation using the exponential
law gives much worse results. In addition, it is demonstrated that linear analysis can be applied to a substantially nonlinear
problem. 相似文献
5.
V. S. Anishchenko A. B. Neiman A. N. Silchenko I. A. Khovanov 《Dynamical Systems: An International Journal》1999,14(3):211-231
We study synchronization of switching processes in stochastic and chaotic bistable systems driven by a periodic signal in terms of phase synchronization. By introduction of instantaneous phases of transitions between metastable states and of the periodic forcing we show explicitly the effect of phase locking. The dynamics of phase difference appears to be qualitatively equivalent to that of a synchronized classical self-sustained oscillator. We have found that the degree of phase coherence between the input signal and the response estimated employing the effective diffusion constant is maximal at an optimal noise level in a stochastic bistable system or at an optimal value of a control parameter in a purely deterministic case. We also consider the effect of mutual synchronization of the switching processes in coupled stochastic and chaotic bistable systems. 相似文献
6.
A numerical analysis is made of the synchronization of the mean switching frequencies in two symmetrically coupled Lorenz
systems functioning in a chaotic regime. The observed effect on the coupling-mismatch parameter plane corresponds to a region
of synchronization of the switching processes, within which the mean switching frequencies coincide to a given accuracy.
Pis’ma Zh. Tekh. Fiz. 23, 14–19 (April 26, 1997) 相似文献
7.
We have studied the influence of uncorrelated Gaussian fluctuations on the propagation of pulses in an excitable medium modeled
by the FitzHugh-Nagumo system under an external point action. Depending on the properties of this medium, one of the two possible
scenarios is realized in the noise-induced suppression of propagating pulses. The first scenario can be classified as the
noise-induced incoherence (breakage of the links) between adjacent elements of the medium. The second scenario is related
to a spontaneous generation of pulses in the medium under the action of fluctuations. These models are applied to analysis
of some recent biological experiments devoted to the dynamics of calcium waves. 相似文献
8.
In accordance with the requirements of the international Guide to the Expression of Uncertainty in Measurement, a new Bayes model has been developed for estimating the mathematical expectation and variance of a random quantity modeling the uncertainty of the result of a measurement of a discrete indicator. The model makes it possible to utilize nonnumerical, inaccurate, and incomplete information concerning the probability distribution of this random quantity. 相似文献
9.
Consideration is given to a combination of different methods for the forecast of values of the social-economic index. One group of methods estimate the value of the index in the future by econometric analysis basing on its dynamics in the past. A new notion of optimal initial vector of forecast is introduced. Other methods are based on experts’ forecast whose conclusions accumulate nonnumerical, incomplete, and inexact information. The final estimate is delivered by a combination of econometric and expert forecasts with weighting coefficients; they are chosen by a researcher taking the volume and quality of the used expert and statistical information into account. 相似文献
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