Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling

Paul Glendinning; Piotr Kowalczyk

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arXiv · 0901.3069

Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling

Paul Glendinning·Piotr Kowalczyk

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Abstract

We demonstrate on a representative example of a planar hybrid system with digital sampling a sudden transition from a stable limit cycle to the onset of chaotic dynamics. We show that the scaling law in the size of the attractor is proportional to the digital sampling time $τ$ for sufficiently small values of $τ.$ Numerical and analytical results are given. The scaling law changes to a nonlinear law for large values of the sampling time $τ.$ This phenomenon is explained by the change in the boundedness of the attractor.

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BibTeX RIS

Paul Glendinning, Piotr Kowalczyk. 2009-01-20. Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling. https://arxiv.org/abs/0901.3069

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