?
Lp-estimates for scalar products of vector fields and their application to electromagnetic theory problems
Mathematical Methods in the Applied Sciences. 2018. No. № № 18. V. 41. P. 9283–9292.
Tyukhtina A. A., Kalinin A.
Language:
English
Tikhonov E., Sneps-Sneppe M., International Journal of Open Information Technologies 2020 Vol. 8 No. 6 P. 51–42
Data transmission using orthogonal functions means combining base carrier signals (scaled by numbers of useful information) into one sent signal. Processing the mixed signal after receiving allows dividing it back into carriers and restoring useful numbers.
What is the most compact set of complex sine waves for this? How will the random components of the spectrum ...
Added: April 9, 2022
Gusein-Zade S., Алгебра и анализ 2021 Т. 33 № 3 С. 73–84
Indices of singular points of a vector field or of a 1-form on a smooth manifold are closely related with the Euler characteristic through the classical Poincar\'e--Hopf theorem. Generalized Euler characteristics (additive topological invariants of spaces with some additional structures) are sometimes related with corresponding analogues of indices of singular points. Earlier, there was defined ...
Added: May 2, 2021
E. Yakovlev, Lerman L., Journal of Geometry and Physics 2019 Vol. 135 P. 70–79
A mathematically correct description is presented on the interrelations between the dynamics of divergence free vector fields on an oriented 3-dimensional manifold M and the dynamics of Hamiltonian systems. It is shown that for a given divergence free vector field Xwith a global cross-section there exist some 4-dimensional symplectic manifold M̃⊃M and a smooth Hamilton function H:M̃→R such that for some c∈R one gets M={H=c}and ...
Added: October 22, 2018
Glutsyuk A., Rybnikov L. G., Nonlinearity 2017 Vol. 30 No. 1 P. 61–72
We consider two-parametric families of non-autonomous ordinary differential equations on the two-torus with coordinates (x, t) of the type x'=v(x)+A+Bf(t). We study its rotation number as a function of the parameters (A, B). The phase-lock areas are those level sets of the rotation number function that have non-empty interiors. Buchstaber, Karpov and Tertychnyi studied the ...
Added: February 15, 2017
Ilyashenko Y., , in: Mathematical Sciences with Multidisciplinary Applications. In Honor of Professor Christiane Rousseau. And In Recognition of the Mathematics for Planet Earth InitiativeVol. 157.: NY: Springer, 2016. Ch. 13 P. 269–299.
This is an outline of a theory to be created, as it was seen in April 2015. An addendnum to the proofs at the end of the chapter describes the recent developments. ...
Added: December 15, 2016
Akbarov S. S., Sbornik Mathematics 1994 Vol. 185 No. 11 P. 3–22
Added: September 23, 2016