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SINGULARITY THEORY APPROACH TO TIME AVERAGED OPTIMIZATION

Singularities in Geometry and Topology, 2007
Using singularity theory tools we study the time averaged problem for control systems and profit densities on the circle. We show that the optimal strategy always can be selected within periodic cyclic motions and stationary strategies. When the problem depends additionally on a one dimensional parameter, we analyze generic transitions between these ...
Davydov, A.A., Mena-Matos, H.
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Average Hamiltonian Theory

2007
The sections in this article are 1 Introduction 2 Magnus Expansion 3 Representations and Frames of Reference: Truncation 4 Applications 5 Additional Topics 6 Biographical ...
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Dollar Averaging in Theory and Practice

Financial Analysts Journal, 1960
(1960). Dollar Averaging in Theory and Practice. Financial Analysts Journal: Vol. 16, No. 5, pp. 51-53.
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On the theory of moving average graduation

Scandinavian Actuarial Journal, 1979
Abstract In this paper a new criterion for judging the properties of moving averages is given, and moving averages which are optimal according to this criterion under general assumptions are derived. For the standard case where the observations are uncorrelated and have equal variance, our optimal moving averages generalize two well-known optimal ...
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Functional averages in the theory of superconductivity

Zeitschrift f�r Physik, 1967
The grand canonical partition function of a superconductor described byGorkov's model Hamiltonian is represented as a functional integral with Gaussian measure. The integrand can be regarded as the partition function of a free Fermi system which interacts with a fluctuating external source potential. Perturbation-theoretic techniques are applied to the
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AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

Mathematics of the USSR-Izvestiya, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Resonances in Multifrequency Averaging Theory

1994
The Whitham method allows to obtain rapidly oscillating asymptotic solutions of nonlinear equations with a small parameter e which characterizes the dispersion. The principal term of such asymptotic solutions can be represented in the form $$ u = f\left( {\frac{{S\left( {x,t} \right)}}{\varepsilon },x,t} \right)$$ (1.1) , where f (τ, x, t ...
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Numerical solution of cell problems in averaging theory

USSR Computational Mathematics and Mathematical Physics, 1988
Cell problems of averaging theory occur in course of asymptotic investigation of partial differential equations with rapidly oscillation coefficients. The author applies a difference method for the solution of cell problems for a set of partial differential equations, the coefficients of which are periodic functions with rapid oscillations. That set of
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On a Functional Averaging Method in the Classical Ensemble Theory

Journal of Mathematical Physics, 1962
Albertoni, Bocchieri, and Loinger (ABL) have given a general prescription to calculate the average E(F) of functionals F[ρ] defined on the space L of the initial states (Liouville density functions) ρ(x) of an arbitrary (finite) dynamical system (S, Σ, μ, H). Then they have proved that E(BH) = 0 for any B ∈ Σ, where BH[ρ]≡lim lim T→∞1/T× ∫ 0T| ∫ Bρ(x,t)
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Theory of synchronous averaging

2004 IEEE Aerospace Conference Proceedings (IEEE Cat. No.04TH8720), 2004
D. Hochmann, M. Sadok
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