Role of saddle tori in the mutual synchronization of periodic oscillations.
We show that in the mutual synchronization of periodic oscillators, besides an attracting torus, there is also a saddle torus that plays an equally important role. We demonstrate that the saddle and stable tori form an elegant structure, allowing for a variety of phenomena, both known and new, related to the origin and evolution of coexisting synchronous regimes (phase multistability).
Balanov
A G
AG
Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany. balanov@physik.tu-berlin.de
Janson
N B
NB
Astakhov
V V
VV
McClintock
P V E
PV