Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"Grazing Bifurcations"”.
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Analytical and Computational Tools for the Study of Grazing Bifurcations of Periodic Orbits and Invariant Tori
… to an impacting motion, referred to as grazing bifurcations, are studied in oscillators where the discontinuities are caused by impacts. Here, the study emphasizes the formulation of conditions for the persistence of a steady state motion in the immediate vicinity of periodic and …
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Nonsmooth Dynamics in Two Interacting, Impacting Pendula
… all are possible, hysteresis is present, and grazing bifurcations allow for spontaneous change of behavior and the appearance of chaotic responses without following a traditional route to chaos. This thesis follows from existing non-linear dynamics research on forced pendula, impacting systems …
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On the use of impact-induced nonlinearities in limit switch design
This dissertation explores the use of grazing bifurcations in impacting mechanical systems as a useful means of creating fast-acting limit switches. Using analytical, numerical, and experimental techniques, the transient and asymptotic responses of several example vibro-impacting systems undergoing …
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Travelling waves modulated by resonant currents in laterally-inhibited grids of leaky integrate-and-fire neurons
… oscillations promote a multiplicity of grazing bifurcations, producing intermediate regions of solution existence in parameter space. Beyond bifurcations, we also note modulation of more complex behaviours such as stationary bumps. This points to a broader investigation of spiking …
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Modeling and Simulation of MEMS Devices
… technique for periodic motions, continuation of grazing periodic orbits, and local analysis of the near grazing dynamics. The transition between nonimpacting and impacting long term motions, referred to as grazing bifurcations, indicates the transition between on and off states of an impact …
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Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy
… model is developed to investigate the grazing dynamics of tapping mode atomic force microscopes (AFM) subjected to a base harmonic excitation. The nonlinear dynamics of the AFM microcantilever are studied in both of the monostable and bistable phases with the microcantilever tip being, …