典型文献
Solutions and memory effect of fractional-order chaotic system:A review
文献摘要:
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.
文献关键词:
中图分类号:
作者姓名:
Shaobo He;Huihai Wang;Kehui Sun
作者机构:
School of Physics and Electronics,Central South University,Changsha 410083,China
文献出处:
引用格式:
[1]Shaobo He;Huihai Wang;Kehui Sun-.Solutions and memory effect of fractional-order chaotic system:A review)[J].中国物理B(英文版),2022(06):10-30
A类:
nonideal
B类:
Solutions,memory,fractional,order,chaotic,Fractional,calculus,years,topic,which,has,been,introduced,real,physics,systems,modeling,engineering,applications,In,last,few,decades,nonlinear,have,widely,investigated,Firstly,most,used,methods,solve,are,reviewed,Characteristics,those,summarized,Then,through,numerical,solution,algorithms,It,shows,that,integer,derivative,full,while,due,kernel,function,Memory,loss,short,discussed,Finally,regarding,effects,work,this,manuscript,provides,reference,value,applied,scientists,community
AB值:
0.496143
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