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• W2078719189 abstract "SUMMARYBifurcation phenomena in a composite dynamic system are studied in order to understand the basic properties of systems. Recently, it has been reported that unavoidable non-ideal switching, e.g., spike noise or a time delay, occurs due to switching and seriously affects the behavior of the trajectory in a composite dynamical system operating in high-frequency switching ranges. We have analyzed the basic properties of a simple one-dimensional composite dynamical system with nonideal switching in order to understand the essence of the dynamical effects of nonideal switching. In the engineering field, there are many two- or more dimensional systems. Naturally, nonideal switching can occur in two- or more dimensional systems. However, no paper analyzes the effect of nonideal switching in such systems. In this paper, we study the basic properties of a two-dimensional composite dynamical system with spike noise. First, we describe a model of a two-dimensional composite dynamical system. Next, the behavior of the waveforms in a system with ideal switching and a system with spike noise is shown. Then, we sample the data of the waveforms in every period for the external force and define a Poincare map. Finally, using the Poincare map, we derive two-parameter bifurcation diagrams and discuss the basic properties of a system with spike noise." @default.
• W2078719189 created "2016-06-24" @default.
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• W2078719189 creator A5061323372 @default.
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• W2078719189 date "2015-05-06" @default.
• W2078719189 modified "2023-10-03" @default.
• W2078719189 title "Basic Properties of Two-Dimensional Composite Dynamical System with Spike Noise" @default.
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• W2078719189 doi "https://doi.org/10.1002/ecj.11659" @default.
• W2078719189 hasPublicationYear "2015" @default.
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