Numerical study of a nonlinear fractional chaotic Chua's circuit-Reference-Cited by-同舟云学术

Numerical study of a nonlinear fractional chaotic Chua's circuit

Published:2023 Issue:1 Volume:8 Page:1636-1655
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Shah Nehad Ali¹,Ahmed Iftikhar²,Asogwa Kanayo K.³,Zafar Azhar Ali⁴,Weera Wajaree⁵,Akgül Ali⁶⁷

Affiliation:

1. Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea

2. Department of Mathematics & Statistics, University of Swat, Khyber Pukhtoonkhwa, Pakistan

3. Department of Mathematics, Nigeria Maritime University, Okerenkoko, Delta State, Nigeria

4. Department of Mathematics, GC University Lahore, Lahore, Pakistan

5. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand

6. Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt Turkey

7. Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia /Mersin 10-Turkey

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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