Heteroclinic synchronization: ultrasubharmonic locking.
Heteroclinic synchronization: ultrasubharmonic locking.
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DOI：
10.1103/physrevlett.96.014101
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发表时间：
2006-01
影响因子：
8.6
通讯作者：
M. Rabinovich;R. Huerta;P. Varona
中科院分区：
文献类型：
--
作者：
M. Rabinovich;R. Huerta;P. Varona
According to the traditional view of synchronization, a weak periodic input is able to lock a nonlinear oscillator at a frequency close to that of the input (1:1 zone). If the forcing increases, it is possible to achieve synchronization at subharmonic bands also. Using a competitive dynamical system we show the inverse phenomenon: with a weak signal the 1:1 zone is narrow, but the synchronization of ultrasubharmonics is dominant. In the system's phase space, there exists a heteroclinic contour in the autonomous regime, which is the image of sequential dynamics. Under the action of a weak periodic forcing, in the vicinity of the contour a stable limit cycle with long period appears. This results in the locking of very low-frequency oscillations with the finite frequency of the forcing. We hypothesize that this phenomenon can be the origin for the synchronization of slow and fast brain rhythms.
