Mathematical Issues related to a Nonlinear Circuit

Shui-Nee Chow

We present a nonlinear circuit used in modulation schemes for analogand digital signals. Mathematical issues in this application areconsidered. In particular, we will show how bifurcation theory insingularly perturbed problems is applied to signal processing.We will also discuss Fokker-Planck equation and Shannon Capacity when white noise is introduced to the system.