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A Smooth and Discontinuous Oscillator Theory, Methodology and Applications

This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in thi...

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Bibliographic Details
Main Authors: Cao, Qingjie, Léger, Alain (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2017, 2017
Edition:1st ed. 2017
Series:Springer Tracts in Mechanical Engineering
Subjects:
Classical Mechanics
Statistical Physics
Vibration
Mathematical Modeling And Industrial Mathematics
Vibration, Dynamical Systems, Control
Mechanics
Applications Of Nonlinear Dynamics And Chaos Theory
Dynamical Systems
Dynamics
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Background: Nonlinear Systems
  • An Smooth and Discontinuous (SD) Oscillator
  • Bifurcation Behaviour
  • Periodic Motions of the Perturbed SD Oscillator
  • The Exact Solutions
  • Chaotic Motions of the SD Oscillator
  • Experimental Investigation of the SD Oscillator
  • Applications in Structural Dynamics
  • Applications in Engineering Isolation
  • Challenges and the Open Problems

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