Geodesic
Visualization of phase trajectories of the Rikitake dynamic system
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 255-265

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In paper the computer research of four-dimensional dynamic system with three parameters adequately describing behavior of model coupled Dynamo in view of viscous friction is carried out. Is shown, that in this system there are five equilibrium states: four stable are focuses–node and one is saddle $(3,1)$. Are established the bifurcations of the spatial overwound cycles appropriate to doubling of the period of oscillations dynamic variable and resulting to chaotic oscillations at increase of the relation of factors friction.
Keywords: Rikitake system, equilibrium states
Mots-clés : limit cycles, chaos. 
@article{ND_2010_6_2_a1,
     author = {V. I. Potapov},
     title = {Visualization of phase trajectories of the {Rikitake} dynamic system},
     journal = {Russian journal of nonlinear dynamics},
     pages = {255--265},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2010_6_2_a1/}
}
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V. I. Potapov. Visualization of phase trajectories of the Rikitake dynamic system. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 255-265. http://geodesic.mathdoc.fr/item/ND_2010_6_2_a1/