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• W2897632555 abstract "In this paper, the focus is on a bifurcation of period- $mathcal{K}$ orbit that can occur in a class of Filippov-type four-dimensional homogenous linear switched systems. We introduce a theoretical framework for analyzing the generalized Poincaré map corresponding to switching manifold. This provides an approach to capturing the possible results concerning the existence of a period- $mathcal{K}$ orbit, stability, a number of invariant cones, and related bifurcation phenomena. Moreover, the analysis identifies criteria for the existence of multi-sliding bifurcation depending on the sensitivity of the system behavior with respect to changes in parameters. Our results show that a period-two orbit involves multi-sliding bifurcation from a period-one orbit. Further, the existence of invariant torus, crossing-sliding, and grazing-sliding bifurcation is investigated. Numerical simulations are carried out to illustrate the results." @default.
• W2897632555 created "2018-10-26" @default.
• W2897632555 creator A5076922034 @default.
• W2897632555 date "2018-10-23" @default.
• W2897632555 modified "2023-09-25" @default.
• W2897632555 title "Bifurcations in four-dimensional switched systems" @default.
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• W2897632555 doi "https://doi.org/10.1186/s13662-018-1850-1" @default.
• W2897632555 hasPublicationYear "2018" @default.
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