分数阶微积分
混乱的
非线性系统
计算机科学
订单(交换)
混沌系统
应用数学
记忆模型
数学
物理
人工智能
并行计算
共享内存
财务
量子力学
经济
作者
Shaobo He,Huihai Wang,Kehui Sun
出处
期刊:Chinese Physics B
[IOP Publishing]
日期:2021-12-16
卷期号:31 (6): 060501-060501
被引量:21
标识
DOI:10.1088/1674-1056/ac43ae
摘要
Fractional calculus is a 300 years topic, which has been introduced to real physics systems modeling and engineering applications. In the last few decades, fractional-order nonlinear chaotic systems have been widely investigated. Firstly, the most used methods to solve fractional-order chaotic systems are reviewed. Characteristics and memory effect in those method are summarized. Then we discuss the memory effect in the fractional-order chaotic systems through the fractional-order calculus and numerical solution algorithms. It shows that the integer-order derivative has full memory effect, while the fractional-order derivative has nonideal memory effect due to the kernel function. Memory loss and short memory are discussed. Finally, applications of the fractional-order chaotic systems regarding the memory effects are investigated. The work summarized in this manuscript provides reference value for the applied scientists and engineering community of fractional-order nonlinear chaotic systems.
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