Nonlinear analysis of cross-coupled oscillator circuits

Nonlinear analysis of cross-coupled oscillator circuits

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 ne...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Xiaoqing Ge, Arcak, M., Salama, K.N.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Bifurcation
Coupling circuits
Feedback
Frequency synchronization
Integrated circuit interconnections
Resistors
Stability analysis
Systems engineering and theory
USA Councils
Voltage-controlled oscillators
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Beschreibung
Zusammenfassung: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.
ISSN:0191-2216
DOI:10.1109/CDC.2008.4738885