Chaos in a current-mode controlled boost DC-DC converter

A mapping is derived in closed form, without approximations, for an idealized current-mode controlled boost converter. This circuit is known experimentally to behave chaotically for certain values of the reference current, and to produce subharmonics of the clock frequency at others. Numerical iteration of the mapping indicates chaotic operation and the presence of subharmonics. Two mechanisms of bifurcation are explained.<
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