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

Statistical and Nonlinear Physics
Mathematics (miscellaneous)
Modeling and Simulation
Mathematical Physics
Mechanical Engineering
Applied Mathematics

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10.1070/RD2006v011n02ABEH000341

Cite this

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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",

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doi = "10.1070/RD2006v011n02ABEH000341",

language = "English",

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journal = "Regular and Chaotic Dynamics",

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AU - Tkachenko, V. A.

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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 - https://www.scopus.com/pages/publications/33745537034

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

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