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
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