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Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions [PDF]

open access: yesEntropy, 2018
The thermodynamically constrained averaging theory (TCAT) is a comprehensive theory used to formulate hierarchies of multiphase, multiscale models that are closed based upon the second law of thermodynamics.
Cass T. Miller   +2 more
doaj   +2 more sources

On Hamiltonian Averaging Theories and Resonance [PDF]

open access: bronzeInternational 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
openalex   +4 more sources

On the torus bifurcation in averaging theory [PDF]

open access: yesJournal of Differential Equations, 2018
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 ...
M. R. Cândido, D. Novaes
semanticscholar   +5 more sources

Sovereign Risk Indices and Bayesian Theory Averaging [PDF]

open access: yesEconometrics, 2020
In economic applications, model averaging has found principal use in examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade.
Alex Lenkoski, Fredrik L. Aanes
doaj   +4 more sources

Adaptive tracking control of flapping wing micro-air vehicles with averaging theory

open access: yesCAAI Transactions on Intelligence Technology, 2018
An input constrained adaptive tracking controller is designed for flapping micro aerial vehicles, wherein the moving averaging filter is adopted to estimate the averaged states of the system.
Chen Qian, Yongchun Fang
doaj   +2 more sources

Aperture averaging: theory and measurements [PDF]

open access: greenSPIE 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
openalex   +4 more sources

Ergodic Theory and Averaging Iterations [PDF]

open access: bronzeCanadian 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
openalex   +3 more sources

New results on averaging theory and applications [PDF]

open access: yesZeitschrift für angewandte Mathematik und Physik, 2016
Agraïments: The first author is supported by CNPq 248501/2013-5. CAPES grant 88881.030454 /2013-01 from the Program CSF-PVE The usual averaging theory reduces the computation of some periodic solutions of a system of ordinary differential equations, to find the simple zeros of an associated averaged function. When one of these zeros is not simple, i.e.
M. R. Cândido, J. Llibre
semanticscholar   +5 more sources

Averaging theory for discontinuous piecewise differential systems [PDF]

open access: yesJournal of Differential Equations, 2015
Agraïments: The first author is partially supported by FEDER-UNAB10-4E-378. The second author is partially supported by a FAPESP-BRAZIL grant 2012/18780-0 and a CNPq grant 449655/2014-8. The third author is partially supported by a FAPESP-BRAZIL grant 2012/10231-7.
J. Llibre, A. Mereu, D. Novaes
semanticscholar   +7 more sources

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