Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Nonlinear Self-Adjointness for some Generalized KdV Equations Read chapter Read first chapter

2014 | OriginalPaper | Chapter

16. Chaos in a Piecewise Linear System with Periodic Oscillations

Author : Chunqing Lu

Published in: Discontinuity and Complexity in Nonlinear Physical Systems

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The paper studies a second order nonlinear differential equation whose right hand side is a piecewise linear function. It shows the coexistence of a countable set of periodic solutions and an uncountable set of bounded non-periodic solutions. The result can be also used to explain the chaos on some smooth nonlinear dynamical systems.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Drilling Systems: Stability and Hidden Oscillations
next chapter Basins of Attraction in a Simple Harvesting System with a Stopper
Literature
1.
Guckenheimer J, Holmes P (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Spring-Verlag, New YorkCrossRefMATH
2.
Hastings SP, McLeod JB (2012) Classical methods in ordinary differential equations with applications to boundary value problems. AMS, Providence, vol. 129
3.
4.
Levi M (1981) Qualitative analysis of the periodically forced relaxation oscillations. Mem Ams 214:1–147
5.
Lu C (2007) Chaos of a parametrically excited undamped pendulum. Comm Nonlin Sci Num Sim 12:45–57CrossRefMATH
6.
Lu C (2012) Chaotic solutions of a differential equation with piecewise linearity, NSC 2012, IEEXplore, pp 117–120
Metadata
Title
Chaos in a Piecewise Linear System with Periodic Oscillations
Author
Chunqing Lu
Copyright Year
2014
Book
Discontinuity and Complexity in Nonlinear Physical Systems

Print ISBN: 978-3-319-01410-4

Electronic ISBN: 978-3-319-01411-1

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-01411-1_16

Premium Partner

    Image Credits