Detail publikace

Local Bifurcations and Chaos in the Fractional Rössler System

ČERMÁK, J. NECHVÁTAL, L.

Anglický název

Local Bifurcations and Chaos in the Fractional Rössler System

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

The paper discusses the fractional Rössler system and the dependence of its dynamics on some entry parameters. An explicit algorithm for a priori determination of fractional Hopf bifurcations is derived and scenarios documenting a route of the system from stability to chaos are performed with respect to a varying system’s fractional order as well as to a varying system’s coefficient. Contrary to the existing results, the searched values of the fractional Hopf bifurcations follow directly from a revealed analytical dependence between these two systems’ entries.

Anglický abstrakt

The paper discusses the fractional Rössler system and the dependence of its dynamics on some entry parameters. An explicit algorithm for a priori determination of fractional Hopf bifurcations is derived and scenarios documenting a route of the system from stability to chaos are performed with respect to a varying system’s fractional order as well as to a varying system’s coefficient. Contrary to the existing results, the searched values of the fractional Hopf bifurcations follow directly from a revealed analytical dependence between these two systems’ entries.

Klíčová slova anglicky

Rössler dynamical system; fractional derivative; asymptotic stability; fractional Hopf bifurcation; chaos synchronization

Vydáno

01.07.2018

Nakladatel

World Scientific Publishing Co. Pte Ltd

Místo

Singapore

ISSN

0218-1274

Ročník

28

Číslo

8

Strany od–do

1850098-1–1850098-17

Počet stran

17

BIBTEX


@article{BUT152948,
  author="Jan {Čermák} and Luděk {Nechvátal},
  title="Local Bifurcations and Chaos in the Fractional Rössler System",
  year="2018",
  volume="28",
  number="8",
  month="July",
  pages="1850098-1--1850098-17",
  publisher="World Scientific Publishing Co. Pte Ltd",
  address="Singapore",
  issn="0218-1274"
}