Journal
CHINESE PHYSICS B
Volume 31, Issue 6, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1674-1056/ac43ae
Keywords
fractional calculus; fractional-order chaotic system; numerical approximation; memory effect
Categories
Funding
- Natural Science Foundation of China [61901530, 62071496, 62061008]
- Natural Science Foundation of Hunan Province, China [2020JJ5767]
Ask authors/readers for more resources
This paper explores the memory effects in fractional-order nonlinear chaotic systems and provides a summary of numerical solution methods and applications for these systems, offering reference value for applied scientists and engineers.
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available