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  A tertiary hopf bifurcation with applications to problems with symmetries
 
 
Title: A tertiary hopf bifurcation with applications to problems with symmetries
Author: Menck, Jurgen
Appeared in: Dynamical systems
Paging: Volume 7 (1992) nr. 2 pages 111-137
Year: 1992
Contents: We develop explicit criteria for the occurrence of a tertiary Hopf bifurcation, and stability of the bifurcating orbits, in a special class of two-parameter systems of ordinary differential equations. We use these results to discuss tertiary Hopf and torus bifurcations in some bifurcation problems with symmetries such as steady-state-Hopf and Hopf-Hopf interaction problems. To analyse (and even detect) these bifurcations we use invariant coordinates and rescaling techniques
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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