Numerical study of a nonlinear fractional chaotic Chua's circuit

被引：11

作者：

Shah, Nehad Ali ^{[1
]}

Ahmed, Iftikhar ^{[2
]}

Asogwa, Kanayo K. ^{[3
]}

Zafar, Azhar Ali ^{[4
]}

Weera, Wajaree ^{[5
]}

Akgul, Ali ^{[6
,7
]}

机构：

[1] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea

[2] Univ Swat, Dept Math & Stat, Khyber Pukhtoonkhwa, Pakistan

[3] Nigeria Maritime Univ, Dept Math, Okerenkoko, Delta State, Nigeria

[4] GC Univ Lahore, Dept Math, Lahore, Pakistan

[5] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

[6] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye

[7] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkiye

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 01期

关键词：

Chaos; nonlinear chaotic systems; Caputo and Caputo-Fabrizio fractional derivatives; chaotic generalized circuit; SYNCHRONIZATION; DYNAMICS;

D O I：

10.3934/math.2023083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As an exponentially growing sensitivity to modest perturbations, chaos is pervasive in nature. Chaos is expected to provide a variety of functional purposes in both technological and biological systems. This work applies the time-fractional Caputo and Caputo-Fabrizio fractional derivatives to the Chua type nonlinear chaotic systems. A numerical analysis of the mathematical models is used to compare the chaotic behavior of systems with differential operators of integer order versus systems with fractional differential operators. Even though the chaotic behavior of the classical Chua's circuit has been extensively investigated, our generalization can highlight new aspects of system behavior and the effects of memory on the evolution of the chaotic generalized circuit.

引用

页码：1636 / 1655

页数：20

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