Detail publikace

Local Bifurcations and Chaos in the Fractional Rössler System

Originální název

Local Bifurcations and Chaos in the Fractional Rössler System

Anglický název

Local Bifurcations and Chaos in the Fractional Rössler System

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.

BibTex


@article{BUT152948,
  author="Jan {Čermák} and Luděk {Nechvátal}",
  title="Local Bifurcations and Chaos in the Fractional Rössler System",
  annote="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.",
  address="World Scientific Publishing Co. Pte Ltd",
  chapter="152948",
  doi="10.1142/S0218127418500980",
  howpublished="print",
  institution="World Scientific Publishing Co. Pte Ltd",
  number="8",
  volume="28",
  year="2018",
  month="july",
  pages="1850098-1--1850098-17",
  publisher="World Scientific Publishing Co. Pte Ltd",
  type="journal article in Web of Science"
}