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Fractional densities for the wada basins. / Osipov, Alexander V.; Serow, Dmitry W.

In: Nonlinear Phenomena in Complex Systems, Vol. 21, No. 4, 2018, p. 389-394.

Research output: Contribution to journal › Article › peer-review

Harvard

Osipov, AV & Serow, DW 2018, 'Fractional densities for the wada basins', Nonlinear Phenomena in Complex Systems, vol. 21, no. 4, pp. 389-394.

APA

Osipov, A. V., & Serow, D. W. (2018). Fractional densities for the wada basins. Nonlinear Phenomena in Complex Systems, 21(4), 389-394.

Vancouver

Osipov AV, Serow DW. Fractional densities for the wada basins. Nonlinear Phenomena in Complex Systems. 2018;21(4):389-394.

Author

Osipov, Alexander V. ; Serow, Dmitry W. / Fractional densities for the wada basins. In: Nonlinear Phenomena in Complex Systems. 2018 ; Vol. 21, No. 4. pp. 389-394.

BibTeX

@article{865b156bdb0741b799229558e9ed5975,
title = "Fractional densities for the wada basins",
abstract = "Fractional density for basis zero Schnirelmann density has been defined. Definition of the fractional density is similar to the Hausdorff-Besicovitch dimension. The existence of the basis zero Schnirelmann density for every Wada basin (Wada ocean) earlier has been proved. This means every Wada basin/ocean are quite topologically characterized to be fractional density. Therefore all fractional densities are invariant with respect to a plane homeomorphism.",
keywords = "Additive basis, Birkhoff curve, Dissipative dynamic system, Fractional density, Indecomposable continuum (atom), Order of basis, Rotation number, Schnirelmann density, Wada basins",
author = "Osipov, {Alexander V.} and Serow, {Dmitry W.}",
year = "2018",
language = "English",
volume = "21",
pages = "389--394",
journal = "Nonlinear Phenomena in Complex Systems",
issn = "1561-4085",
publisher = "Белорусский государственный университет",
number = "4",

}

RIS

TY - JOUR

T1 - Fractional densities for the wada basins

AU - Osipov, Alexander V.

AU - Serow, Dmitry W.

PY - 2018

Y1 - 2018

N2 - Fractional density for basis zero Schnirelmann density has been defined. Definition of the fractional density is similar to the Hausdorff-Besicovitch dimension. The existence of the basis zero Schnirelmann density for every Wada basin (Wada ocean) earlier has been proved. This means every Wada basin/ocean are quite topologically characterized to be fractional density. Therefore all fractional densities are invariant with respect to a plane homeomorphism.

AB - Fractional density for basis zero Schnirelmann density has been defined. Definition of the fractional density is similar to the Hausdorff-Besicovitch dimension. The existence of the basis zero Schnirelmann density for every Wada basin (Wada ocean) earlier has been proved. This means every Wada basin/ocean are quite topologically characterized to be fractional density. Therefore all fractional densities are invariant with respect to a plane homeomorphism.

KW - Additive basis

KW - Birkhoff curve

KW - Dissipative dynamic system

KW - Fractional density

KW - Indecomposable continuum (atom)

KW - Order of basis

KW - Rotation number

KW - Schnirelmann density

KW - Wada basins

UR - http://www.scopus.com/inward/record.url?scp=85060276377&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85060276377

VL - 21

SP - 389

EP - 394

JO - Nonlinear Phenomena in Complex Systems

JF - Nonlinear Phenomena in Complex Systems

SN - 1561-4085

IS - 4

ER -

ID: 51711104