Matlab Code for Lyapunov Exponents of Fractional-Order Systems, Part II: The Noncommensurate Case

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چکیده

In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents adapted a class of non-commensurate fractional-order systems modeled by Caputo's derivative and corresponding Matlab code are presented. The continues work started in [Danca & Kuznetsov, 2018], where commensurate is given. To integrate extended system, Adams-Bashforth-Moulton for fractional differential equations utilized. As program commensurate-order systems, presented prints plots as function time. can be simply plot evolution orders, or bifurcation parameter. A special attention payed periodicity its influences. case Lorenz system considered.

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ژورنال

عنوان ژورنال: International Journal of Bifurcation and Chaos

سال: 2021

ISSN: ['0218-1274', '1793-6551']

DOI: https://doi.org/10.1142/s021812742150187x