Results 11 to 20 of about 83,194 (307)
On Hamiltonian Averaging Theories and Resonance [PDF]
International Astronomical Union Colloquium, 1997 AbstractIn this article, we review the construction of Hamiltonian perturbation theories with emphasis on Hori’s theory and its extension to the case of dynamical systems with several degrees of freedom and one resonant critical angle. The essential modification is the comparison of the series terms according to the degree of homogeneity in both and a
S. Ferraz‐Mello
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Ergodic Theory and Averaging Iterations [PDF]
Canadian Journal of Mathematics, 1973 Suppose X is a Banach space and T a continuous linear operator on X. The significance of the asymptotic convergence of T for the approximate solution of the equation (I - T)x = f by means of the Picard iterations was clearly shown in Browder's and Petryshyn's paper [1], The results of [1] have stimulated further investigation of the Picard, and more ...
J. J. Koliha
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Aperture averaging: theory and measurements [PDF]
SPIE Proceedings, 2004 Atmospheric laser communications using direct-detection systems do suffer from severe degradation caused by scintillation. Because the atmospheric cut-off frequency can be as low as 100 Hz, temporal averaging is not applicable in high-speed communications.
Nicolas Perlot, D. Fritzsche
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Extreme Value Theory for Moving Average Processes [PDF]
The Annals of Probability, 1986 This is an interesting qualitative and quantitative study of extreme values of moving averages of variables with smooth tails. Let \(\{X_ t=\sum c_{\lambda -t}Z_{\lambda}\}\) be an infinite moving average process, with \(\{c_{\lambda}\}\) given constants and with the noise sequence \(\{Z_{\lambda}\}\) consisting of i.i.d. random variables.
Holger Rootzén
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Averages of characteristic polynomials in random matrix theory [PDF]
Communications on Pure and Applied Mathematics, 2005 We compute averages of products and ratios of characteristic polynomials associated with Orthogonal, Unitary, and Symplectic Ensembles of Random Matrix Theory. The pfaffian/determinantal formulas for these averages are obtained, and the bulk scaling asymptotic limits are found for ensembles with Gaussian weights.
Alexei Borodin, Eugene Strahov
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On the torus bifurcation in averaging theory [PDF]
Journal of Differential Equations, 2020 In this paper, we take advantage of the averaging theory to investigate a torus bifurcation in two-parameter families of 2D nonautonomous differential equations. Our strategy consists in looking for generic conditions on the averaged functions that ensure the existence of a curve in the parameter space characterized by a Neimark-Sacker bifurcation in ...
Douglas D. Novaes, Murilo R. Cândido
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Physical Theories with Average Symmetry
, 2013 This Letter probes the existence of physical laws invariant only in average when subjected to some transformation. The concept of a symmetry transformation is broadened to include corruption by random noise and average symmetry is introduced by considering functions which are invariant only in average under these transformations.
Roberto C. Alamino
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On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in
Mathematics, 2020 Here we study 3-dimensional Lotka–Volterra systems. It is known that some of these differential systems can have at least four periodic orbits bifurcating from one of their equilibrium points.
Maoan Han, Jaume Llibre, Yun Tian
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Limit cycles in piecewise smooth perturbations of a class of cubic differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we study the bifurcation of limit cycles from a class of cubic integrable non-Hamiltonian systems under arbitrarily small piecewise smooth perturbations of degree $n$.
Dan Sun, Yunfei Gao, Linping Peng, Li Fu
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Distribution Theory of the Least Squares Averaging Estimator [PDF]
Journal of Econometrics, 2013 This paper derives the limiting distributions of least squares averaging estimators for linear regression models in a local asymptotic framework. We show that the averaging estimators with fixed weights are asymptotically normal and then develop a plug-in averaging estimator that minimizes the sample analog of the asymptotic mean squared error.
Chu-An Liu
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