Detail publikace

Stability and chaos in the fractional Chen system

ČERMÁK, J. NECHVÁTAL, L.

Anglický název

Stability and chaos in the fractional Chen system

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

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

Vydáno

01.08.2019

Nakladatel

PERGAMON-ELSEVIER SCIENCE LTD

Místo

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

ISSN

0960-0779

Ročník

125

Číslo

1

Strany od–do

24–33

Počet stran

10

BIBTEX


@article{BUT161236,
  author="Jan {Čermák} and Luděk {Nechvátal},
  title="Stability and chaos in the fractional Chen system",
  year="2019",
  volume="125",
  number="1",
  month="August",
  pages="24--33",
  publisher="PERGAMON-ELSEVIER SCIENCE LTD",
  address="THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND",
  issn="0960-0779"
}