Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Yakovenko, Sergei A."'
Autor:
Novikov, Dmitry, Yakovenko, Sergei
Numerous problems of analysis (real and complex) and geometry (analytic, algebraic, Diophantine e.a.) can be reduced to calculation of the ``number of solutions'' of systems of equations, defined by algebraic equalities and differential equations wit
Externí odkaz:
http://arxiv.org/abs/2302.03513
Autor:
Mezuman, Leanne, Yakovenko, Sergei
We study the problem of decomposition (non-commutative factorization) of linear ordinary differential operators near an irregular singular point. The solution (given in terms of the Newton diagram and the respective characteristic numbers) is known f
Externí odkaz:
http://arxiv.org/abs/1805.02210
Autor:
Tanny, Shira, Yakovenko, Sergei
Publikováno v:
Arnold Mathematical Journal, Volume 1, Issue 2, pp 141-170 (July 2015)
We study the local classification of higher order Fuchsian linear differential equations under various refinements of the classical notion of the "type of differential equation" introduced by Frobenius. The main source of difficulties is the fact tha
Externí odkaz:
http://arxiv.org/abs/1412.7830
Autor:
Seigal, Anna Leah, Yakovenko, Sergei
Publikováno v:
Israel Journal of Mathematics, 201 (2014), no. 2, 813-833
V. I. Arnold proved in 1991 (published in 1993) that the intersection multiplicity between two germs of analytic subvarieties at a fixed point of a holomorphic invertible self-map remains bounded when one of the germs is dragged by iterations of the
Externí odkaz:
http://arxiv.org/abs/1303.0472
We introduce and discuss a new class of (multivalued analytic) transcendental functions which still share with algebraic functions the property that the number of their isolated zeros can be explicitly counted. On the other hand, this class is suffic
Externí odkaz:
http://arxiv.org/abs/1108.1847
Autor:
Binyamini, Gal, Yakovenko, Sergei
Publikováno v:
Annales de l'institut Fourier, 59 no. 7 (2009), p. 2891-2926
We study the problem of placing effective upper bounds for the number of zeros of solutions of Fuchsian systems on the Riemann sphere. The principal result is an explicit (non-uniform) upper bound, polynomially growing on the frontier of the class of
Externí odkaz:
http://arxiv.org/abs/0808.2950
Publikováno v:
Inventiones mathematicae, August 2010, Volume 181, Issue 2, pp 227-289
We prove that the number of limit cycles generated by a small non-conservative perturbation of a Hamiltonian polynomial vector field on the plane, is bounded by a double exponential of the degree of the fields. This solves the long-standing tangentia
Externí odkaz:
http://arxiv.org/abs/0808.2952
Autor:
Yakovenko, Sergei
Publikováno v:
J. Dyn. Control Syst. 12 (2006), no. 3, 433--449.
We give a simplified proof and an improvement of a recent theorem by A. Grigoriev, placing an upper bound for the number of roots of linear combinations of solutions to systems of linear equations with polynomial or rational coefficients.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/math/0409198
Autor:
Novikov, Dmitry, Yakovenko, Sergei
Publikováno v:
Mosc. Math. J. 3 (2003), no. 2, 551--591, 744
We prove that under certain spectral assumptions on the monodromy group, solutions of Fuchsian systems of linear equations on the Riemann sphere admit explicit global bounds on the number of their isolated zeros.
Comment: 39 pages (AmSLaTeX/amsa
Comment: 39 pages (AmSLaTeX/amsa
Externí odkaz:
http://arxiv.org/abs/math/0203210
Publikováno v:
Journal of Integrative Neuroscience, Vol 17, Iss 3, Pp 193-202 (2018)
The functional state of subjects with high and low levels of anxiety is studied by electroencephalograph analysis of different temporal periods preceding a cognitive task of visual expression recognition. Several conditions are investigated: backgrou
Externí odkaz:
https://doaj.org/article/81b43af00df74f1e9b36c7f66fb0650b
