Title :
Nonlinear analysis of cross-coupled oscillator circuits
Author :
Ge, Xiaoqing ; Arcak, Murat ; Salama, Khaled Nabil
Author_Institution :
Dept. of Electr., Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
Abstract :
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.
Keywords :
bifurcation; nonlinear systems; oscillators; synchronisation; time-varying networks; bifurcation point; dynamic system; feedback gain; global stability properties; interconnected identical cross-coupled oscillator synchronization; nonlinear analysis; static nonlinearity; Bifurcation; Coupling circuits; Feedback; Frequency synchronization; Integrated circuit interconnections; Resistors; Stability analysis; Systems engineering and theory; USA Councils; Voltage-controlled oscillators;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738885
