engleski

Connection between box dimension and cyclicity for planar systems

We consider polynomial systems of differential equations in the plane and try to give a connection between the cyclicity of limit periodic sets (i.e. the maximal number of limit cycles that can bifurcate from these sets) and the box dimension of nearby trajectories. In computing dimension and cyclicity we use information about asymptotic behaviour of the Poincare map around limit periodic sets.

Cyclicity; box dimension; Chebyshev scale

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