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

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 superor sub-critical Hopf bifurcation; the stability of the bifurcating limit cycle is also determined. In addition, integrability of the system is studied carefully.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1186/s13662-018-1659-y

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Publisher:
Springer Open Publisher's website
Journal:
Advances in Difference Equations Journal website
Volume:
2018
Issue:
1
Pages:
210
Publication date:
2018-06-19
Acceptance date:
2018-05-28
DOI:
EISSN:
1687-1847
ISSN:
1687-1839
Pubs id:
pubs:860139
URN:
uri:e934e1b2-a77e-4246-a3c1-fd83118ae6be
UUID:
uuid:e934e1b2-a77e-4246-a3c1-fd83118ae6be
Local pid:
pubs:860139

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