Open AccessChaos Analysis of Fractional-order System with Delay Based on Adomian Decomposition
Author(s) -
Feng Cao,
Tengfei Lei
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1550/3/032043
Subject(s) - adomian decomposition method , attractor , bifurcation diagram , fractional order system , matlab , chaotic , nonlinear system , bifurcation , control theory (sociology) , mathematics , computer science , fractional calculus , mathematical analysis , physics , differential equation , control (management) , quantum mechanics , artificial intelligence , operating system
In this paper, fractional-order Lü chaotic system with nonlinear delay term is proposed, and the fractional-order Lü chaotic system with time-delay is numerically decomposed by Adomian decomposition. At the same time, the influence of fractional-order number on the system is verified. Then the bifurcation diagram, complexity and attractor phase diagram of the system are analyzed by Matlab software. The numerical simulation results show that the 0.9order system has rich dynamic characteristics, which provides a theoretical basis for parameter selection when fractional order delay system is applied to multimedia encryption.