21 research outputs found
Localization and pattern formation in Wigner representation via multiresolution
We present an application of variational-wavelet analysis to quasiclassical
calculations of solutions of Wigner equations related to nonlinear (polynomial)
dynamical problems. (Naive) deformation quantization, multiresolution
representations and variational approach are the key points. Numerical
calculations demonstrates pattern formation from localized eigenmodes and
transition from chaotic to localized (waveleton) types of behaviour.Comment: 3 pages, 3 figures, espcrc2.sty, Presented at VIII International
Workshop on Advanced Computing and Analysis Techniques in Physics Research,
Section III "Simulations and Computations in Theoretical Physics and
Phenomenology", ACAT'2002, June 24-28, 2002, Mosco
Fast Calculations in Nonlinear Collective Models of Beam/Plasma Physics
We consider an application of variational-wavelet approach to nonlinear
collective models of beam/plasma physics: Vlasov/Boltzmann-like reduction from
general BBGKY hierachy. We obtain fast convergent multiresolution
representations for solutions which allow to consider polynomial and rational
type of nonlinearities. The solutions are represented via the multiscale
decomposition in nonlinear high-localized eigenmodes (waveletons).Comment: 3 pages, 2 figures, espcrc2.sty, Presented at VIII International
Workshop on Advanced Computing and Analysis Techniques in Physics Research,
Section III "Simulations and Computations in Theoretical Physics and
Phenomenology", ACAT'2002, June 24-28, 2002, Mosco
Measurement of the Charged Multiplicities in b, c and Light Quark Events from Z0 Decays
Average charged multiplicities have been measured separately in , and
light quark () events from decays measured in the SLD experiment.
Impact parameters of charged tracks were used to select enriched samples of
and light quark events, and reconstructed charmed mesons were used to select
quark events. We measured the charged multiplicities:
,
, from
which we derived the differences between the total average charged
multiplicities of or quark events and light quark events: and . We compared
these measurements with those at lower center-of-mass energies and with
perturbative QCD predictions. These combined results are in agreement with the
QCD expectations and disfavor the hypothesis of flavor-independent
fragmentation.Comment: 19 pages LaTex, 4 EPS figures, to appear in Physics Letters
Space as a Tool for Astrobiology: Review and Recommendations for Experimentations in Earth Orbit and Beyond
Energy Minimization Problem And Routes To Chaos In Wavelet Approach
: The explicit time description of optimal dynamics for nonlinear differential systems of equations (energy minimization in high power electromechanical system) and computation of Melnikov functions for perturbed Hamiltonian systems are considered. The solution is presented as a multiresolution expansion from wavelet analysis and it is parametrized by solutions of two reduced algebraic problems. Keywords: Nonlinear control, Optimal control, Nonlinear dynamics. 1. INTRODUCTION The problem of energy minimization in electromechanical power systems is a long standing problem. The paper considers a synchronous electrical machine and a mill as load (in this approach one can consider any mechanical load with polynomial approximation for the mechanical moment instead of the mill). The problem of "electrical economizer" is presented as an optimal control problem. The result of the first stage is the explicit time description of the optimal dynamics for that electromechanical system, the result ..
Wavelet Approach to Nonlinear Problems, I. Polynomial Dynamics
this paper we consider the application of powerful methods of wavelet analysis to polynomial approximations of mechanical and physical problems such that accelerator physics problems, dynamics and optimal control problems, Galerkin approximations, routes to chaos in Hamiltonian systems [1]-[7]. The key point in the solution of these problems is the use of the methods of wavelet analysis, relatively novel set of mathematical methods, which gives us a possibility to work with well-localized bases in functional spaces and with the general type of operators (including pseudodifferential) in such bases. Our problem as many related problems in the framework of our type of approximations of complicated nonlinearities is reduced to the problem of the solving of the systems of differential equations with polynomial nonlinearities with or without some constraints. The first main part of our construction is some variational approach to this problem, which reduces initial problem to the problem of solution of functional equations at the first stage and some algebraical problems at the second stage. We consider also two cases of our general construction. In the first case (particular) we have for Riccati equations (particular quadratic approximations) the solution as a series on shifted Legendre polynomials, which is parameterized by the solution of reduced algebraical (also Riccati) system of equations [6]. In the second case (general polynomialsystem) we have the solution in a compactly supported wavelet basis. Multiresolution expansion is the second main part of our construction. The solution is parameterized by solutions of two reduced algebraical problems, one as in the first case and the second is some linear problem, which is obtained from one of the next wavelet construction..