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

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dc.creatorGlendinning, Paul
dc.creatorKowalczyk, Piotr
dc.date2009-01-20
dc.date.accessioned2026-07-07T12:32:11Z
dc.date.available2026-07-07T12:32:11Z
dc.descriptionWe 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0901.3069
dc.identifierhttp://arxiv.org/abs/0901.3069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216695
dc.subjectChaotic Dynamics
dc.titleTransition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling
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