Detail publikace

Stability and chaos in the fractional Chen system

ČERMÁK, J. NECHVÁTAL, L.

Originální název

Stability and chaos in the fractional Chen system

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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.

Klíčová slova

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

Autoři

ČERMÁK, J.; NECHVÁTAL, L.

Vydáno

1. 8. 2019

Nakladatel

PERGAMON-ELSEVIER SCIENCE LTD

Místo

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

ISSN

0960-0779

Periodikum

Chaos, Solitons & Fractals

Ročník

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"
}