Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point

Gen Rich Belitskii; V. A. Tkachenko

doi:10.1070/RD2006v011n02ABEH000341

Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point

Gen Rich Belitskii, V. A. Tkachenko

Department of Mathematics

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

Abstract

Functional moduli of a smooth conjugacy of local C¹-diffeomorphisms and C¹-flows at a hyperbolic fixed point are introduced. Conditions for the smooth linearization, existence of iterative roots and embeddability in terms of these moduli are found.

Original language	English
Pages (from-to)	141-154
Number of pages	14
Journal	Regular and Chaotic Dynamics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1070/RD2006v011n02ABEH000341
State	Published - 1 Jan 2006

Keywords

Functional moduli
Hyperbolic fixed point
Local diffeomorphisms
Local flows
Smooth conjugacy

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.1070/RD2006v011n02ABEH000341

Cite this

@article{ee64b42d66794232963380ba63731179,

title = "Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point",

abstract = "Functional moduli of a smooth conjugacy of local C1-diffeomorphisms and C1-flows at a hyperbolic fixed point are introduced. Conditions for the smooth linearization, existence of iterative roots and embeddability in terms of these moduli are found.",

keywords = "Functional moduli, Hyperbolic fixed point, Local diffeomorphisms, Local flows, Smooth conjugacy",

author = "Belitskii, {Gen Rich} and Tkachenko, {V. A.}",

year = "2006",

month = jan,

day = "1",

doi = "10.1070/RD2006v011n02ABEH000341",

language = "English",

volume = "11",

pages = "141--154",

journal = "Regular and Chaotic Dynamics",

issn = "1560-3547",

publisher = "Pleiades Publishing",

number = "2",

}

TY - JOUR

T1 - Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point

AU - Belitskii, Gen Rich

AU - Tkachenko, V. A.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - Functional moduli of a smooth conjugacy of local C1-diffeomorphisms and C1-flows at a hyperbolic fixed point are introduced. Conditions for the smooth linearization, existence of iterative roots and embeddability in terms of these moduli are found.

AB - Functional moduli of a smooth conjugacy of local C1-diffeomorphisms and C1-flows at a hyperbolic fixed point are introduced. Conditions for the smooth linearization, existence of iterative roots and embeddability in terms of these moduli are found.

KW - Functional moduli

KW - Hyperbolic fixed point

KW - Local diffeomorphisms

KW - Local flows

KW - Smooth conjugacy

UR - http://www.scopus.com/inward/record.url?scp=33745537034&partnerID=8YFLogxK

U2 - 10.1070/RD2006v011n02ABEH000341

DO - 10.1070/RD2006v011n02ABEH000341

M3 - Article

AN - SCOPUS:33745537034

SN - 1560-3547

VL - 11

SP - 141

EP - 154

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 2

ER -

Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this