Fractional order chaotic systems: history, achievements, applications, and future challenges

Motivated by the importance of study on the complex behaviors, which may be exhibited by fractional order differential equations, this review paper focuses on dynamical fractional order systems exhibiting chaotic behaviors. The review begins with a brief history on the first publications on the abov...

Full description

Saved in:
Bibliographic Details
Published inThe European physical journal. ST, Special topics Vol. 229; no. 6-7; pp. 887 - 904
Main Author Tavazoei, Mohammad Saleh
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020
Springer Nature B.V
Subjects
Atomic
Chaos theory
Classical and Continuum Physics
Condensed Matter Physics
Differential equations
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Review
Special Chaotic Systems
Online AccessGet full text

Cover

More Information
Summary:Motivated by the importance of study on the complex behaviors, which may be exhibited by fractional order differential equations, this review paper focuses on dynamical fractional order systems exhibiting chaotic behaviors. The review begins with a brief history on the first publications on the above-mentioned subject. Then, the review is continued by investigating the recent progresses relevant to fractional order chaotic systems. Furthermore, a summary on some applications for such systems, which have been reported in the literature, is presented. Finally, the paper is closed by discussing some open problems on the aforementioned research subject. These open problems, as future challenges for further study on fractional order chaotic systems, can specify some direction lines for continuing the research on that subject.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2020-900238-8