Publication detail
Local Bifurcations and Chaos in the Fractional Rössler System
ČERMÁK, J. NECHVÁTAL, L.
English title
Local Bifurcations and Chaos in the Fractional Rössler System
Type
journal article in Web of Science
Language
en
Original abstract
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.
English abstract
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.
Keywords in English
Rössler dynamical system; fractional derivative; asymptotic stability; fractional Hopf bifurcation; chaos synchronization
Released
01.07.2018
Publisher
World Scientific Publishing Co. Pte Ltd
Location
Singapore
ISSN
0218-1274
Volume
28
Number
8
Pages from–to
1850098-1–1850098-17
Pages count
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"
}