Implicit Finite-Difference Scheme for a Duffing Oscillator with a Derivative of Variable Fractional Order of the Riemann-Liouville Type
نویسندگان
چکیده
The article considers an implicit finite-difference scheme for the Duffing equation with a derivative of fractional variable order Riemann–Liouville type. issues stability and convergence are considered. Test examples given to substantiate theoretical results. Using Runge rule, results compared explicit scheme. Phase trajectories oscillograms oscillator type constructed, chaotic modes detected using spectrum maximum Lyapunov exponents Poincare sections. Q-factor surfaces, amplitude-frequency phase-frequency characteristics constructed study forced oscillations. showed that shows more accurate than one.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11030558