Detail publikačního výsledku

Stability and chaos in the fractional Chen system

ČERMÁK, J.; NECHVÁTAL, L.

Originální název

Stability and chaos in the fractional Chen system

Anglický název

Stability and chaos in the fractional Chen system

Druh

Článek WoS

Originální abstrakt

The paper provides a theoretical analysis of some local bifurcations in the fractional Chen system. Contrary to the integer-order case, basic bifurcation properties of the fractional Chen system are shown to be qualitatively different from those described previously for the fractional Lorenz system. Further, the fractional Hopf bifurcation in the Chen system is expressed rigorously with respect to general entry parameters. Based on these observations, some particularities of the fractional dynamics of the Chen system are documented and its chaotic behavior for low derivative orders is discussed.

Anglický abstrakt

The paper provides a theoretical analysis of some local bifurcations in the fractional Chen system. Contrary to the integer-order case, basic bifurcation properties of the fractional Chen system are shown to be qualitatively different from those described previously for the fractional Lorenz system. Further, the fractional Hopf bifurcation in the Chen system is expressed rigorously with respect to general entry parameters. Based on these observations, some particularities of the fractional dynamics of the Chen system are documented and its chaotic behavior for low derivative orders is discussed.

Klíčová slova

Chen system; Fractional derivative; Stability; Fractional Hopf bifurcation; Chaos

Klíčová slova v angličtině

Chen system; Fractional derivative; Stability; Fractional Hopf bifurcation; Chaos

Autoři

ČERMÁK, J.; NECHVÁTAL, L.

Rok RIV

2020

Vydáno

01.08.2019

Nakladatel

PERGAMON-ELSEVIER SCIENCE LTD

Místo

THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND

ISSN

0960-0779

Periodikum

CHAOS SOLITONS & FRACTALS

Svazek

125

Číslo

1

Stát

Spojené království Velké Británie a Severního Irska

Strany od

24

Strany do

33

Strany počet

10

URL

https://www.sciencedirect.com/science/article/pii/S0960077919301675?via%3Dihub

BibTex

@article{BUT161236,
  author="Jan {Čermák} and Luděk {Nechvátal}",
  title="Stability and chaos in the fractional Chen system",
  journal="CHAOS SOLITONS & FRACTALS",
  year="2019",
  volume="125",
  number="1",
  pages="24--33",
  doi="10.1016/j.chaos.2019.05.007",
  issn="0960-0779",
  url="https://www.sciencedirect.com/science/article/pii/S0960077919301675?via%3Dihub"
}

Dokumenty

Cermak, Nechvatal - 2019 - Stability and chaos in the fractional Chen system
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