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Abstract: We demonstrate on a representative example of a planar hybrid system withdigital sampling a sudden transition from a stable limit cycle to the onset ofchaotic dynamics. We show that the scaling law in the size of the attractor isproportional to the digital sampling time $\tau$ for sufficiently small valuesof $\tau.$ Numerical and analytical results are given. The scaling law changesto a nonlinear law for large values of the sampling time $\tau.$ Thisphenomenon is explained by the change in the boundedness of the attractor.



Author: Paul Glendinning, Piotr Kowalczyk

Source: https://arxiv.org/







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