Frequency dependence of phase-synchronization time in nonlinear dynamical systems.
It has been found recently that the averaged phase-synchronization time between the input and the output signals of a nonlinear dynamical system can exhibit an extremely high sensitivity to variations in the noise level. In real-world signal-processing applications, sensitivity to frequency variations may be of considerable interest. Here we investigate the dependence of the averaged phase-synchronization time on frequency of the input signal. Our finding is that, for typical nonlinear oscillator systems, there can be a frequency regime where the time exhibits significant sensitivity to frequency variations. We obtain an analytic formula to quantify the frequency dependence, provide numerical support, and present experimental evidence from a simple nonlinear circuit system.
Park
Kwangho
K
Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287, USA.
Lai
Ying-Cheng
YC
Krishnamoorthy
Satish
S
D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods*; D012815:Signal Processing, Computer-Assisted; D013269:Stochastic Processes; D013598:Systems Theory; D013995:Time; D013997:Time Factors