Globally and locally attractive solutions for quasi-periodically forced systems

  title={Globally and locally attractive solutions for quasi-periodically forced systems},
  author={Michele Bartuccelli and Jonathan H. B. Deane and Guido Gentile},
We consider a class of differential equations, ẍ + γẋ + g(x) = f(ωt), with ω ∈ R, describing one-dimensional dissipative systems subject to a periodic or quasi-periodic (Diophantine) forcing. We study existence and properties of trajectories with the same quasi-periodicity as the forcing. For g(x) = x, p ∈ N, we show that, when the dissipation coefficient is large enough, there is only one such trajectory and that it describes a global attractor. In the case of more general nonlinearities… CONTINUE READING
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