: 405-4 Parametric Identification of Chaotic Systems

Abstract: Parameters are identified in chaotic systems. Periodic orbits are first extracted from a chaotic set. The harmonic-balance method is applied to these periodic orbits, resulting in a linear equation in the unknown parameters, which can then be solved in the least squares sense. The idea is applied numerically to forced and autonomous systems. The effects of noise and errors in the periodic orbit extraction are outlined. The benefit of extracting several periodic orbits from the chaotic set is revealed