Abstract
In this paper a new method is presented for the detection of chaotic responses using harmonic balance commercial simulators. The method is applicable to circuits exhibiting homoclinic bifurcation routes. The successive period-doublings, often preceding the formation of homoclinic orbits, are predicted and calculated. This is done by means of a new probe technique that overcomes the harmonic balance difficulties when dealing with subharmonic frequencies. This calculation of the steady-state frequency divided responses has allowed an accurate prediction of the onset of chaos, through a homoclinic orbit, in the time-delayed Chua's circuit (TDCC). The method is specially suitable for circuits containing transmission lines that cannot be analyzed by standard time-domain simulations.
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More From: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
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