Analysis of noise effects on the nonlinear dynamics of synchronized oscillators

Author

Hoeye, Samuel Ver ; Suárez, Almudena ; Sancho, Sergio

Author_Institution

Dept. Ingenieria de Comunicaciones, Cantabria Univ., Santander, Spain

Volume

11

Issue

9

fYear

2001

Firstpage

376

Lastpage

378

Abstract

The higher sensitivity to noise of nonlinear systems near the onset of instability is analyzed here. The analysis is particularized to synchronized oscillators, studying the influence of the proximity to Hopf and Saddle-Node bifurcations. The calculations are compared with former scaling relationships and with results from time-domain integration. The average shift of bifurcation points due to noise perturbations is also analyzed. Two examples are shown: a cubic-nonlinearity oscillator and a 5 GHz hybrid oscillator, for experimental verifications.

Keywords

bifurcation; circuit noise; circuit stability; nonlinear dynamical systems; nonlinear network analysis; oscillators; synchronisation; 5 GHz; Hopf bifurcation; cubic-nonlinearity oscillator; hybrid oscillator; instability; noise effects; nonlinear dynamics; saddle-node bifurcation; scaling relationship; synchronized oscillator; time-domain integration; Bifurcation; Circuit noise; Damping; Frequency conversion; Frequency synchronization; Nonlinear systems; Oscillators; Stability; Steady-state; Time domain analysis;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/7260.950766

Filename

950766