A Novel Mega-stable Chaotic Circuit

In recent years designing new multistable chaotic oscillators has been of noticeable interest. A multistable system is a double-edged sword which can have many benefits in some applications while in some other situations they can be even dangerous. In this paper, we introduce a new multistable two-d...

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Main Authors: Viet-Thanh PHAM, Dalia Sami ALI, Nadia M.G. AL-SAIDI, Karthikeyan RAJAGOPAL, Fawaz E. ALSAADI, Sajad JAFARI
Format: Article
Language:English
Published: 2020
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Online Access:https://dlib.phenikaa-uni.edu.vn/handle/PNK/398
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spelling oai:localhost:PNK-3982022-08-17T05:54:37Z A Novel Mega-stable Chaotic Circuit Viet-Thanh PHAM Dalia Sami ALI Nadia M.G. AL-SAIDI Karthikeyan RAJAGOPAL Fawaz E. ALSAADI Sajad JAFARI Multistability chaotic oscillators basin of attraction coexisting attractors In recent years designing new multistable chaotic oscillators has been of noticeable interest. A multistable system is a double-edged sword which can have many benefits in some applications while in some other situations they can be even dangerous. In this paper, we introduce a new multistable two-dimensional oscillator. The forced version of this new oscillator can exhibit chaotic solutions which makes it much more exciting. Also, another scarce feature of this system is the complex basins of attraction for the infinite coexisting attractors. Some initial conditions can escape the whirlpools of nearby attractors and settle down in faraway destinations. The dynamical properties of this new system are investigated by the help of equilibria analysis, bifurcation diagram, Lyapunov exponents’ spectrum, and the plot of basins of attraction. The feasibility of the proposed system is also verified through circuit implementation. 2020-06-18T03:20:59Z 2020-06-18T03:20:59Z 2020 Article https://dlib.phenikaa-uni.edu.vn/handle/PNK/398 en application/pdf
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Multistability
chaotic oscillators
basin of attraction
coexisting attractors
spellingShingle Multistability
chaotic oscillators
basin of attraction
coexisting attractors
Viet-Thanh PHAM
Dalia Sami ALI
Nadia M.G. AL-SAIDI
Karthikeyan RAJAGOPAL
Fawaz E. ALSAADI
Sajad JAFARI
A Novel Mega-stable Chaotic Circuit
description In recent years designing new multistable chaotic oscillators has been of noticeable interest. A multistable system is a double-edged sword which can have many benefits in some applications while in some other situations they can be even dangerous. In this paper, we introduce a new multistable two-dimensional oscillator. The forced version of this new oscillator can exhibit chaotic solutions which makes it much more exciting. Also, another scarce feature of this system is the complex basins of attraction for the infinite coexisting attractors. Some initial conditions can escape the whirlpools of nearby attractors and settle down in faraway destinations. The dynamical properties of this new system are investigated by the help of equilibria analysis, bifurcation diagram, Lyapunov exponents’ spectrum, and the plot of basins of attraction. The feasibility of the proposed system is also verified through circuit implementation.
format Article
author Viet-Thanh PHAM
Dalia Sami ALI
Nadia M.G. AL-SAIDI
Karthikeyan RAJAGOPAL
Fawaz E. ALSAADI
Sajad JAFARI
author_facet Viet-Thanh PHAM
Dalia Sami ALI
Nadia M.G. AL-SAIDI
Karthikeyan RAJAGOPAL
Fawaz E. ALSAADI
Sajad JAFARI
author_sort Viet-Thanh PHAM
title A Novel Mega-stable Chaotic Circuit
title_short A Novel Mega-stable Chaotic Circuit
title_full A Novel Mega-stable Chaotic Circuit
title_fullStr A Novel Mega-stable Chaotic Circuit
title_full_unstemmed A Novel Mega-stable Chaotic Circuit
title_sort novel mega-stable chaotic circuit
publishDate 2020
url https://dlib.phenikaa-uni.edu.vn/handle/PNK/398
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score 8.891145