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A postprocessing of Hopf bifurcation points. (English) Zbl 1056.65140
Feistauer, M. (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2003, the 5th European conference on numerical mathematics and advanced applications, Prague, Czech Republic, August 18–22, 2003. Berlin: Springer (ISBN 3-540-21460-7/hbk). 502-509 (2004).
Summary: The aim is to initialize a branch of periodic orbits emanating from a Hopf bifurcation point. The second-order predictor of the branch is developed. The problem is discussed in the context of the MATLAB toolbox CL$$_-$$MATCONT.
For the entire collection see [Zbl 1046.65002].
##### MSC:
 65P30 Numerical bifurcation problems 37C27 Periodic orbits of vector fields and flows 37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems 37M20 Computational methods for bifurcation problems in dynamical systems
##### Keywords:
dynamical system; periodic orbits; Hopf bifurcation point
MATCONT; Matlab