Nonlinear Dynamics Between Linear and Impact Limits

Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of “unusual” physical phenomena by means of nonlinear differential equations, discrete mappings, and related mathematical algorithms. However, with no real substitute for the linear superposition principle...

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Bibliographic Details
Main Author: Pilipchuk, Valery N.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2010, 2010
Edition:1st ed. 2010
Series:Lecture Notes in Applied and Computational Mechanics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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