Standard

Rotation number additive theory for birkhoff curves. / Osipov, Alexander V.; Serowy, Dmitry W.

в: Nonlinear Phenomena in Complex Systems, Том 20, № 4, 2017, стр. 382-393.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Osipov, AV & Serowy, DW 2017, 'Rotation number additive theory for birkhoff curves', Nonlinear Phenomena in Complex Systems, Том. 20, № 4, стр. 382-393.

APA

Osipov, A. V., & Serowy, D. W. (2017). Rotation number additive theory for birkhoff curves. Nonlinear Phenomena in Complex Systems, 20(4), 382-393.

Vancouver

Osipov AV, Serowy DW. Rotation number additive theory for birkhoff curves. Nonlinear Phenomena in Complex Systems. 2017;20(4):382-393.

Author

Osipov, Alexander V. ; Serowy, Dmitry W. / Rotation number additive theory for birkhoff curves. в: Nonlinear Phenomena in Complex Systems. 2017 ; Том 20, № 4. стр. 382-393.

BibTeX

@article{29a8e87d731f472c9693f08efdbf1ae5,
title = "Rotation number additive theory for birkhoff curves",
abstract = "Rotation number elementary theory for Birkhoff curves has been constructed. Geometrical (dynamical) and numerical properties for Birkhoff curves being more than two regions common boundary has been studied. Topological number invariants with respect to a dissipative dynamic system on the plane possessing the Birkhoff curve property have been discussed. Simple allocation algorithm of natural numbers has been applied, so that its Schnirelmann density is equal to the rotation number for a region. If the region boundary is a Birkhoff curve then the sequence contains an additive basis zero Schnirelmann density. The basis contains an arbitrary long arithmetic progression. Rotation numbers for regions are defined to be different additive bases zero Schnirelmann density.",
keywords = "Birkhoff curve, Dissipative dynamic system, Euler characteristics, Indecomposable continuum (atom), Nonwandering set, Rotation number, The Wada lakes (basins)",
author = "Osipov, {Alexander V.} and Serowy, {Dmitry W.}",
year = "2017",
language = "English",
volume = "20",
pages = "382--393",
journal = "Nonlinear Phenomena in Complex Systems",
issn = "1561-4085",
publisher = "Белорусский государственный университет",
number = "4",

}

RIS

TY - JOUR

T1 - Rotation number additive theory for birkhoff curves

AU - Osipov, Alexander V.

AU - Serowy, Dmitry W.

PY - 2017

Y1 - 2017

N2 - Rotation number elementary theory for Birkhoff curves has been constructed. Geometrical (dynamical) and numerical properties for Birkhoff curves being more than two regions common boundary has been studied. Topological number invariants with respect to a dissipative dynamic system on the plane possessing the Birkhoff curve property have been discussed. Simple allocation algorithm of natural numbers has been applied, so that its Schnirelmann density is equal to the rotation number for a region. If the region boundary is a Birkhoff curve then the sequence contains an additive basis zero Schnirelmann density. The basis contains an arbitrary long arithmetic progression. Rotation numbers for regions are defined to be different additive bases zero Schnirelmann density.

AB - Rotation number elementary theory for Birkhoff curves has been constructed. Geometrical (dynamical) and numerical properties for Birkhoff curves being more than two regions common boundary has been studied. Topological number invariants with respect to a dissipative dynamic system on the plane possessing the Birkhoff curve property have been discussed. Simple allocation algorithm of natural numbers has been applied, so that its Schnirelmann density is equal to the rotation number for a region. If the region boundary is a Birkhoff curve then the sequence contains an additive basis zero Schnirelmann density. The basis contains an arbitrary long arithmetic progression. Rotation numbers for regions are defined to be different additive bases zero Schnirelmann density.

KW - Birkhoff curve

KW - Dissipative dynamic system

KW - Euler characteristics

KW - Indecomposable continuum (atom)

KW - Nonwandering set

KW - Rotation number

KW - The Wada lakes (basins)

UR - http://www.scopus.com/inward/record.url?scp=85040911048&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85040911048

VL - 20

SP - 382

EP - 393

JO - Nonlinear Phenomena in Complex Systems

JF - Nonlinear Phenomena in Complex Systems

SN - 1561-4085

IS - 4

ER -

ID: 51711066