In this chapter we describe synchronization phenomena of periodic and chaotic oscillators subject to an external periodic force (Fig. 3.1). In the classical theory of synchronization the periodically driven oscillator is the main and historically first studied model. The electrical engineers Appleton [102] and van der Pol [48] were the first to show the possibility of synchronization of triode generator by a weak external periodic signal. Then, external synchronization of self-oscillatory systems was theoretically studied by the Russian physicists Andronov and Vitt [103, 104], Mandelshtam and Papaleksi [105].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2007). Synchronization Due to External Periodic Forcing. In: Synchronization in Oscillatory Networks. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71269-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-71269-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71268-8
Online ISBN: 978-3-540-71269-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)