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

Author: 

Liu, Y
Li, J
Wei, Z
Moroz, I

Publication Date: 

16 July 2018

Journal: 

Advances in Difference Equations

Last Updated: 

2019-09-10T15:18:17.697+01:00

Issue: 

1

Volume: 

2018

DOI: 

10.1186/s13662-018-1659-y

abstract: 

© 2018, The Author(s). 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.

Symplectic id: 

860139

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article