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Normal Forms for Three-parameter Families of Area-preserving Maps near an Elliptic Fixed Point. / Гельфрейх, Наталия Георгиевна.

In: Regular and Chaotic Dynamics, Vol. 23, No. 3, 01.05.2018, p. 273-290.

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

Harvard

Гельфрейх, НГ 2018, 'Normal Forms for Three-parameter Families of Area-preserving Maps near an Elliptic Fixed Point', Regular and Chaotic Dynamics, vol. 23, no. 3, pp. 273-290. https://doi.org/10.1134/S1560354718030048

APA

Гельфрейх, Н. Г. (2018). Normal Forms for Three-parameter Families of Area-preserving Maps near an Elliptic Fixed Point. Regular and Chaotic Dynamics, 23(3), 273-290. https://doi.org/10.1134/S1560354718030048

Vancouver

Гельфрейх НГ. Normal Forms for Three-parameter Families of Area-preserving Maps near an Elliptic Fixed Point. Regular and Chaotic Dynamics. 2018 May 1;23(3):273-290. https://doi.org/10.1134/S1560354718030048

Author

Гельфрейх, Наталия Георгиевна. / Normal Forms for Three-parameter Families of Area-preserving Maps near an Elliptic Fixed Point. In: Regular and Chaotic Dynamics. 2018 ; Vol. 23, No. 3. pp. 273-290.

BibTeX

@article{20c46501bdc54db69264081b96be7418,
title = "Normal Forms for Three-parameter Families of Area-preserving Maps near an Elliptic Fixed Point",
abstract = "We study dynamics of area-preserving maps in a neighborhood of an elliptic fixed point. We describe simplified normal forms for a fixed point of codimension 3. We also construct normal forms for a generic three-parameter family which contains such degeneracy and use normal form theory to describe generic bifurcations of periodic orbits in these families.",
keywords = "area-preserving maps, bifurcation, normal form, resonant fixed point",
author = "Гельфрейх, {Наталия Георгиевна}",
year = "2018",
month = may,
day = "1",
doi = "10.1134/S1560354718030048",
language = "English",
volume = "23",
pages = "273--290",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "3",

}

RIS

TY - JOUR

T1 - Normal Forms for Three-parameter Families of Area-preserving Maps near an Elliptic Fixed Point

AU - Гельфрейх, Наталия Георгиевна

PY - 2018/5/1

Y1 - 2018/5/1

N2 - We study dynamics of area-preserving maps in a neighborhood of an elliptic fixed point. We describe simplified normal forms for a fixed point of codimension 3. We also construct normal forms for a generic three-parameter family which contains such degeneracy and use normal form theory to describe generic bifurcations of periodic orbits in these families.

AB - We study dynamics of area-preserving maps in a neighborhood of an elliptic fixed point. We describe simplified normal forms for a fixed point of codimension 3. We also construct normal forms for a generic three-parameter family which contains such degeneracy and use normal form theory to describe generic bifurcations of periodic orbits in these families.

KW - area-preserving maps

KW - bifurcation

KW - normal form

KW - resonant fixed point

UR - http://www.scopus.com/inward/record.url?scp=85048136366&partnerID=8YFLogxK

U2 - 10.1134/S1560354718030048

DO - 10.1134/S1560354718030048

M3 - Article

VL - 23

SP - 273

EP - 290

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 3

ER -

ID: 9329483