Oscillators and Oscillatory Signals from Smooth to Discontinuous Geometrical, Algebraic, and Physical Nature

This updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clif...

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Bibliographic Details
Main Author: Pilipchuk, Valery N.
Format: eBook
Published: Cham Springer Nature Switzerland 2023, 2023
Edition:2nd ed. 2023
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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