Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method

DOI10.1142/S0218127415500856zbMath1317.34022MaRDI QIDQ5499893

Shaobo He, Kehui Sun, Huihai Wang

Publication date: 5 August 2015

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

zbMATH Keywords

fractional calculusAdomian decomposition methoddigital signal processorsimplified Lorenz systemLyapunov exponent diagram

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Analytic circuit theory (94C05) Hyperbolic equations and hyperbolic systems (35L99) Fractional ordinary differential equations (34A08)

Related Items (12)

Detecting chaos in fractional-order nonlinear systems using the smaller alignment index ⋮ Multivariate permutation entropy and its application for complexity analysis of chaotic systems ⋮ Adomian Decomposition Algorithm for Studying Incommensurate Fractional-Order Memristor-Based Chua’s System ⋮ Stability and stabilization of a class of fractional-order nonlinear systems for \(0<\alpha< 2\) ⋮ An Improved Return Maps Method for Parameter Estimation of Chaotic Systems ⋮ Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization ⋮ Artificial Neural Network Approximation of Fractional-Order Derivative Operators: Analysis and DSP Implementation ⋮ Complex dynamics of the fractional-order Rössler system and its tracking synchronization control ⋮ Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives ⋮ Characteristic analysis of fractional-order 4D hyperchaotic memristive circuit ⋮ Can derivative determine the dynamics of fractional-order chaotic system? ⋮ Design of a New 3D Chaotic System Producing Infinitely Many Coexisting Attractors and Its Application to Weak Signal Detection

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