Local Bifurcations and Chaos in the Fractional Rössler System

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F18%3APU130454" target="_blank" >RIV/00216305:26210/18:PU130454 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0218127418500980" target="_blank" >https://doi.org/10.1142/S0218127418500980</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127418500980" target="_blank" >10.1142/S0218127418500980</a>

Result language
angličtina
Original language name
Local Bifurcations and Chaos in the Fractional Rössler System
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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