Journal article
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
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(Preview, Version of record, pdf, 1.6MB, Terms of use)
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- Publisher copy:
- 10.1186/s13662-018-1659-y
Authors
+ Fundamental Research Funds for the Central Universities and China University of Geosciences (Wuhan)
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- Grant:
- No. CUGL150419
+ Scientific Research Program of Hubei Provincial Department of Education
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- Grant:
- No.B2017599
- Publisher:
- Springer Open
- Journal:
- Advances in Difference Equations More from this journal
- Volume:
- 2018
- Issue:
- 1
- Pages:
- 210
- Publication date:
- 2018-06-19
- Acceptance date:
- 2018-05-28
- DOI:
- EISSN:
-
1687-1847
- ISSN:
-
1687-1839
- Keywords:
- Pubs id:
-
pubs:860139
- UUID:
-
uuid:e934e1b2-a77e-4246-a3c1-fd83118ae6be
- Local pid:
-
pubs:860139
- Source identifiers:
-
860139
- Deposit date:
-
2018-07-02
Terms of use
- Copyright holder:
- Moroz et al
- Copyright date:
- 2018
- Notes:
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/),which permits unrestricted use, distribution, and reproduction in anymedium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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