Skip to main content

n : m Synchronization of Periodic Oscillations

  • Chapter
  • 1610 Accesses

Part of the Springer Series in Synergetics book series (SSSYN)

Abstract

Earlier we discussed synchronization phenomena in periodically forced periodic oscillators, when the forcing frequency was close to the natural frequency of unforced oscillations. A natural question arises: “What happens if we are perturbing the system with a frequency which is substantially different from its natural frequency? Are there any synchronization phenomena in that case?” The answer is “yes,” and below we will illustrate this.

Keywords

  • Phase Portrait
  • Rotation Number
  • Force Frequency
  • Synchronization Region
  • Paced Breathing

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-540-72128-4_6
  • Chapter length: 28 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   109.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-72128-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   149.99
Price excludes VAT (USA)
Hardcover Book
USD   149.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Balanov, A., Janson, N., Postnov, D., Sosnovtseva, O. (2009). n : m Synchronization of Periodic Oscillations. In: Synchronization. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72128-4_6

Download citation