This paper presents the application of a newly developed computational toolbox, TC-HAT, for bifurcation analysis of systems in which continuous-in-time dynamics are interrupted by discrete-in-time events, here referred to as hybrid dynamical systems. In particular, new results pertaining to the dynamic behavior of a sample hybrid dynamical system, an impact microactuator, are obtained using this software program. Here, periodic trajectories of the actuator with single or multiple impacts per period and associated saddle-node, period-doubling, and grazing bifurcation curves are documented. The analysis confirms previous analytical results regarding the presence of co-dimension-two grazing bifurcation points from which saddle-node and period-doubling bifurcation curves emanate.
Bifurcation Analysis of a Microactuator Using a New Toolbox for Continuation of Hybrid System Trajectories
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Kang, W., Thota, P., Wilcox, B., and Dankowicz, H. (November 12, 2008). "Bifurcation Analysis of a Microactuator Using a New Toolbox for Continuation of Hybrid System Trajectories." ASME. J. Comput. Nonlinear Dynam. January 2009; 4(1): 011009. https://doi.org/10.1115/1.3007975
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