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Nonlinear analysis of cross-coupled oscillator circuits

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3 Author(s)
Xiaoqing Ge ; Dept. of Electr., Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA ; Arcak, M. ; Salama, K.N.

We study global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity. We present sufficient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the neighborhood of the bifurcation point. The result is then extended to the synchronization of interconnected identical cross-coupled oscillators.

Published in:

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Date of Conference:

9-11 Dec. 2008