Poria, S.; Chakraborty, B. K.; Mazumdar, H. P. Some aspects of Rikitake system of dynamical equations. (English) Zbl 1057.34041 Int. J. Appl. Mech. Eng. 8, No. 1, 87-96 (2003). A Rikitake system models the self-generation of the magnetic field of the earth by large current carrying eddies in the core. The authors obtain integrals of motion and analyze the stability of the Rikitake dynamical system. They also analyze the effects of a linear feedback control. Reviewer: Igor Andrianov (Köln) MSC: 34C60 Qualitative investigation and simulation of ordinary differential equation models 86A25 Geo-electricity and geomagnetism 34D20 Stability of solutions to ordinary differential equations 93B52 Feedback control Keywords:stability analysis; integrals of motion; feed-back control PDFBibTeX XMLCite \textit{S. Poria} et al., Int. J. Appl. Mech. Eng. 8, No. 1, 87--96 (2003; Zbl 1057.34041)