Title :
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
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;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/7260.950766
