Periodic signal modeling based on Lie/spl acute/nard's equation

The problem of modeling periodic signals is considered. The approach taken here is motivated by the well known theoretical results on the existence of periodic orbits for Lie/spl acute/nard systems and previous results on modeling periodic signals by means of second-order nonlinear ordinary differential equations. The approach makes use of the appropriate conditions imposed on the polynomials of the Lie/spl acute/nard's system to guarantee the existence of a unique and stable limit cycle. These conditions reduce the number of parameters required to generate accurate models.