PARAMETRIC IDENTIFICATION OF CHAOTIC SYSTEMS

Parameters are identified in chaotic systems. Periodic orbits are firs t extracted from a chaotic set. The harmonic-balance method is applied to these periodic orbits, resulting in a linear equation in the unkno wn parameters, which can then be solved in the least squares sense. Th e idea is applied numerically to forced and autonomous systems. The ef fects of noise and errors in the periodic orbit extraction are outline d The benefit of extracting several periodic orbits from the chaotic s et is revealed.