# Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling - Nonlinear Sciences > Chaotic Dynamics

Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling - Nonlinear Sciences > Chaotic Dynamics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.

Autor: Paul Glendinning, Piotr Kowalczyk

Fuente: https://arxiv.org/