Symmetries in phase portrait

Yakov Krasnov; Umbetkul K. Koylyshov

doi:10.3390/sym12071123

Symmetries in phase portrait

Yakov Krasnov, Umbetkul K. Koylyshov

Department of Mathematics

Al Farabi Kazakh National University

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

3 Scopus citations

Abstract

We construct polynomial dynamical systems x' = P(x) with symmetries present in the local phase portrait. This point of view on symmetry yields the approaches to ODEs construction being amenable to classical methods of the Spectral Analysis.

Original language	English
Article number	1123
Journal	Symmetry
Volume	12
Issue number	7
DOIs	https://doi.org/10.3390/sym12071123
State	Published - Jul 2020

Bibliographical note

Publisher Copyright:
© 2020 by the authors.

Keywords

Phase portrait
Polynomial differential systems
Topological equivalence
Vector fields

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10.3390/sym12071123

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title = "Symmetries in phase portrait",

abstract = "We construct polynomial dynamical systems x' = P(x) with symmetries present in the local phase portrait. This point of view on symmetry yields the approaches to ODEs construction being amenable to classical methods of the Spectral Analysis.",

keywords = "Phase portrait, Polynomial differential systems, Topological equivalence, Vector fields",

author = "Yakov Krasnov and Koylyshov, {Umbetkul K.}",

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doi = "10.3390/sym12071123",

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volume = "12",

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KW - Phase portrait

KW - Polynomial differential systems

KW - Topological equivalence

KW - Vector fields

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Symmetries in phase portrait

Abstract

Bibliographical note

Keywords

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