Oscillators and Oscillatory Signals from Smooth to Discontinuous
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Dr. Valery N. Pilipchuk is Associate professor of Mechanical Engineering at Wayne State University, Detroit, Michigan, USA.
Content
Introduction.- Smooth Oscillating Processes.- Nonsmooth Processes as Asymptotic Limits.- Nonsmooth Temporal Transformations (NSTT).- Sawtooth Power Series.- NSTT for Linear and Piecewise-Linear Systems.- Periodic and Transient Nonlinear Dynamics under Discontinuous Loading.- Strongly Nonlinear Vibrations.- Strongly Nonlinear Waves.- Impact Modes and Parameter Variations.- Principal Trajectories of Forced Vibrations.- NSTT and Shooting Method for Periodic Motions.- Essentially Non-periodic Processes.- Spatially-Oscillating Structures.
