engleski

Fractal analysis of spiral trajectories of some planar vector fields

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.

Spiral; box dimension; Minkowski content; Minkowski measurability; planar vector field; Hopf-Takens bifurcation

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