AN APPLICATION OF ADOMIAN DECOMPOSITION FOR ANALYSIS OF FRACTIONAL-ORDER CHAOTIC SYSTEMS

DOI10.1142/S0218127413500508zbMath1270.34010MaRDI QIDQ2845174

Stefano Fazzino, Riccardo Caponetto

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaosLyapunov exponentsfractional-order systemsAdomian decomposition

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)

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Cites Work

• Adomian decomposition: a tool for solving a system of fractional differential equations
• Numerical algorithm based on Adomian decomposition for fractional differential equations
• Determining Lyapunov exponents from a time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• An efficient QR based method for the computation of Lyapunov exponents
• Numerical solutions for systems of fractional differential equations by the decomposition method
• Ergodic theory of chaos and strange attractors
• On the bound of the Lyapunov exponents for the fractional differential systems

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