Bifurcation analysis and integrability in the segmented disc dynamo with mechanical friction

Autor:	Yebei Liu, Junze Li, Zhouchao Wei, Irene Moroz
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Segmented disc dynamo Center manifold theory Bifurcation Chaos Normal form theory Integrability Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-22 (2018)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-018-1659-y
Popis:	Abstract Using center manifold theory, we investigate complex dynamics in a segmented disc dynamo with mechanical friction by making a determination of equilibrium states and analyzing local stability. We find that the system undergoes Hopf bifurcation for a key parameter. Normal form theory produces the formulae for determining a super- or sub-critical Hopf bifurcation; the stability of the bifurcating limit cycle is also determined. In addition, integrability of the system is studied carefully.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/79122b1b0ba74a39b2da0499628186ee Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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