Detail publikace

Local Bifurcations and Chaos in the Fractional Rössler System

ČERMÁK, J. NECHVÁTAL, L.

Originální název

Local Bifurcations and Chaos in the Fractional Rössler System

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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.

Klíčová slova

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

Autoři

ČERMÁK, J.; NECHVÁTAL, L.

Vydáno

1. 7. 2018

Nakladatel

World Scientific Publishing Co. Pte Ltd

Místo

Singapore

ISSN

0218-1274

Periodikum

International Journal of Bifurcations & Chaos

Ročník

28

Číslo

8

Stát

Singapurská republika

Strany od

1850098-1

Strany do

1850098-17

Strany počet

17

URL

https://doi.org/10.1142/S0218127418500980