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Homoclinic Mechanism of Synchronization of Periodic Oscillations

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

Abstract

In Chaps. 3 and 4 we considered the two most generic and longest known mechanisms of the synchronization of periodic oscillations: phase (frequency) locking and suppression of natural dynamics. We have shown that these mechanisms can be associated with local bifurcations of periodic solutions. In this chapter we introduce a new synchronization mechanism called the “homoclinic mechanism of synchronization,” which involves a non-local bifurcation and is considered in literature to a much less extent.

Keywords

  • Bifurcation Diagram
  • Stable Cycle
  • Global Bifurcation
  • Homoclinic Bifurcation
  • Local Bifurcation

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.

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  • DOI: 10.1007/978-3-540-72128-4_5
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© 2009 Springer-Verlag Berlin Heidelberg

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Balanov, A., Janson, N., Postnov, D., Sosnovtseva, O. (2009). Homoclinic Mechanism of Synchronization of Periodic Oscillations. In: Synchronization. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72128-4_5

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