Paper Info
Title
Adomian Decomposition Algorithm For Studying Incommensurate Fractional-Order Memristor-Based Chua'S System
Abstract
Based on the definitions of fractional-order differential and Adomian decomposition algorithm, the numerical approximate solution of the incommensurate fractional-order memristor-based Chua's system is investigated. Dynamical characteristics of the proposed system are studied by using phase diagram, bifurcation analysis and power spectrum. Research results show that compared with the Adams-Bashforth-Moulton algorithm, the Adomian decomposition algorithm yields more accurate results and its solution generally converges more rapidly. Compared with 3.776 achieved by the Adams-Bashforth-Moulton algorithm, the minimum order of the incommensurate fractional-order memristor-based Chua's system solved by using Adomian decomposition algorithm is 1.76, which is much smaller. A reliable and efficient binary test for chaos, called "0-1 test", is utilized to detect the presence of chaotic attractors in the system dynamics.
Year
DOI
Venue
2018
10.1142/S0218127418501341
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Fractional calculus, Adomian decomposition algorithm, incommensurate fractional-order memristor-based Chua's system, dynamical characteristic, test for chaos
Memristor,Algorithm,Fractional calculus,Approximate solution,Mathematics
Journal
Volume
Issue
ISSN
28
11
0218-1274
Citations 
PageRank 
References 
0
0.34
11
Authors
3
Name
Order
Citations
PageRank
Hongyun Liao100.34
Yipeng Ding2133.79
Ling Wang301.35