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"
}