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 Author Cao, Qingjie
Other Authors Léger, Alain, Wiercigroch, Marian
Format Electronic eBook
LanguageEnglish
Published Berlin : Springer, 2016.
SeriesSpringer tracts in mechanical engineering.
Subjects
Chaotic behavior in systems.
Nonlinear theories.
elektronické knihy
electronic books
Online AccessFull text
ISBN9783662530948
9783662530924
Physical Description1 online resource (271 pages)

Cover

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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