Skip to main content
SpringerLink
Log in

Periodic Solutions Leading to Chaos in an Oscillator with Quadratic and Cubic Nonlinearities

  • Chapter
Book cover Bifurcation and Chaos: Analysis, Algorithms, Applications

  • 469 Accesses

Abstract

Regions of periodic and chaotic response, types of bifurcation and strange attractors of an unsymmetric oscillator of interest in structural dynamics are analyzed. The bifurcation predictive capability of the stability analysis of simple approximate solutions is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benedettini, F., Rega, G. (1990). 1/2 - Subharmonic Resonance and Chaotic Motions in a Model of Elastic Cable, Proc. IUTAM Symp. Nonlinear Dynamics in Engineering Systems,Springer-Verlag, 27–34.

    Google Scholar 

  2. Szemplinska-Stupnicka, W. (1987). Secondary Resonance and Approximate Models of Routes to Chaotic Motion in Non-linear Oscillators, J. Sound Vibrat. 113, 155–172.

    Article  MathSciNet  MATH  Google Scholar 

  3. Seydel, R. (1988). From Equilibrium to Chaos,Elsevier.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Ingegneria delle Strutture, delle Acque e del Terreno, Università di L’Aquila, L’Aquila, Italy

    F. Benedettini & G. Rega

Authors
  1. F. Benedettini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Rega
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Abteilung für Numerik, Universität Ulm, Oberer Eselsberg, D-7900, Ulm, Germany

    R. Seydel

  2. Institut für Physikalische Chemie, Universität Würzburg, Marcusstr. 9/11, D-8700, Würzburg, Germany

    F. W. Schneider

  3. Mathematisches Institut, Universität Köln, Weyertal 88, D-5000, Köln, Germany

    T. Küpper

  4. Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria

    H. Troger

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Benedettini, F., Rega, G. (1991). Periodic Solutions Leading to Chaos in an Oscillator with Quadratic and Cubic Nonlinearities. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-7004-7_6

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7006-1

  • Online ISBN: 978-3-0348-7004-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation