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Characterizing chaos in a type of fractional Duffing's equation

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  • We characterize the chaos in a fractional Duffing's equation computing the Lyapunov exponents and the dimension of the strange attractor in the effective phase space of the system. We develop a specific analytical method to estimate all Lyapunov exponents and check the results with the fiduciary orbit technique and a time series estimation method.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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