Abstract
The time-correlation functions and power spectra of chaotic orbits of the Duffing equation are investigated numerically and theoretically. Because the system is driven by a sinusoidal external force with period T =2 π/ω0, the time-correlation function C(t) ≡� p(t)p(0)� of the momentum p(t), defined through the long-time average over a chaotic orbit, becomes a sinusoidal oscillation with period T as t →∞ . The phase φ(t )= ω0t + φ0 of the external force takes an initial value φ0 at times t = jT ˙
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