Fractal analysis of spiral trajectories of some planar vector fields |
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| Authors: | Darko ?ubrini? |
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| Affiliation: | University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia |
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| Abstract: | We study box dimension, Minkowski content and Minkowski measurability of nonrectifiable, smooth spiral trajectories of some dynamical systems in the plane. From this point of view we consider a standard model of Hopf-Takens bifurcation and study the behaviour of trajectories near singular points and limit cycles. |
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| Keywords: | 37C45 14H50 28A75 34C23 |
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