Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit

@inproceedings{BartuccelliBifurcationPA,
  title={Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit},
  author={Michele Bartuccelli and Jonathan H. B. Deane and Guido Gentile}
}
In this paper we investigate bifurcation phenomena, such as those of the periodic solutions, for the “unperturbed” nonlinear system G(ẋ)ẍ + βx = 0, with G(ẋ) = (α + ẋ)/(1 + ẋ) and α > 1, β > 0, when we add the two competing terms −f(t) + γẋ, with f(t) a time-periodic analytic “forcing” function and γ > 0 the dissipative parameter. The resulting differential equation G(ẋ)ẍ+βx+γẋ−f(t) = 0 describes approximately an electronic system known as the saturating inductor circuit. For any periodic orbit… CONTINUE READING

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