Synchronization of oscillators coupled through narrow-band networks

@article{citeulike:2782034, abstract = {The ability of two coupled oscillators to synchronize depends critically on the coupling network. Previous analyses have accurately predicted the performance of quasi-optical microwave oscillator arrays for both weak and strong coupling, but have been limited to coupling networks with bandwidths considerably larger than the locking bandwidths of the oscillators. In this paper, the authors develop a method for deriving a suitable system of nonlinear differential equations describing the oscillator amplitude and phase dynamics using a generalization of Kurokawa's method. The method is applied to the case of two Van der Pol oscillators coupled through a resonant network for a wide range of coupling strengths and bandwidths. Simple approximate formulas are developed for the size of the frequency locking region as functions of the basic circuit parameters}, author = {Lynch, J. J. and York, R. A. }, booktitle = {Microwave Theory and Techniques, IEEE Transactions on}, citeulike-article-id = {2782034}, doi = {10.1109/22.903084}, journal = {Microwave Theory and Techniques, IEEE Transactions on}, keywords = {oscillator, synchronization}, number = {2}, pages = {237--249}, posted-at = {2008-05-10 00:54:02}, priority = {2}, title = {Synchronization of oscillators coupled through narrow-band networks}, url = {http://dx.doi.org/10.1109/22.903084}, volume = {49}, year = {2001} }

TY - JOUR ID - citeulike:2782034 TI - Synchronization of oscillators coupled through narrow-band networks T2 - Microwave Theory and Techniques, IEEE Transactions on JF - Microwave Theory and Techniques, IEEE Transactions on VL - 49 IS - 2 SP - 237 EP - 249 N2 - The ability of two coupled oscillators to synchronize depends critically on the coupling network. Previous analyses have accurately predicted the performance of quasi-optical microwave oscillator arrays for both weak and strong coupling, but have been limited to coupling networks with bandwidths considerably larger than the locking bandwidths of the oscillators. In this paper, the authors develop a method for deriving a suitable system of nonlinear differential equations describing the oscillator amplitude and phase dynamics using a generalization of Kurokawa's method. The method is applied to the case of two Van der Pol oscillators coupled through a resonant network for a wide range of coupling strengths and bandwidths. Simple approximate formulas are developed for the size of the frequency locking region as functions of the basic circuit parameters KW - oscillator KW - synchronization AU - Lynch, JJ AU - York, RA PY - 2001/// UR - http://dx.doi.org/10.1109/22.903084 ER -