Nonlinear Analysis of Cross-Coupled Oscillator Circuits

Xiaoqing Ge*, Murat Arcak, Khaled Nabil Salama

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Number of pages6
StatePublished - 2008
Externally publishedYes
Event47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico
Duration: Dec 9 2008Dec 11 2008


Other47th IEEE Conference on Decision and Control, CDC 2008

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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