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

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

13

Lastpage

18

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;

fLanguage

English

Publisher

ieee

Conference_Titel

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

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4738885

Filename

4738885